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Part 1: Fractions | Year 7 Maths Free Worksheet

Math-Guides-Year-7-Fraction-Header-Banner

Guide Chapters

  • 1. Fractions
  • 2. Decimals and Percentages
  • 3. Algebraic techniques
  • 4. Angle Relationships
  • 7. Data collection & representation
  • 8. Pythagoras' theorem

Are your fraction skills a little rusty? Don’t fear! In this article, we will guide you through everything you need to know about Year 7 fractions.

Syllabus Outcomes

This article deals with the following NESA Syllabus Outcomes:

fractions homework year 7

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NESA Syllabus Outcomes
Communicates and connects mathematical ideas using appropriate terminology, diagrams and symbolsThis means that you will be able to identify fractions in problem questions and solve them.
Applies appropriate mathematical techniques to solve problemsThis means that you will be able to simplify, add/subtract, multiply/divide and order fractions.
Recognises and explains mathematical relationships using reasoningThis means that you will be able to identify and express equivalent fractions.
Operates with fractions, decimals and percentagesThis means you will solve problems that deal with fractions, decimals and percentages.

Fractions are often difficult to grasp initially because of the multiple values involved, what they mean, and their relationship to each other.

They may be hard to understand due to the complexity of the operations.

Eg. When to add/subtract certain numbers versus when to multiply numbers.

However, it is an extremely important fundamental topic that is heavily applied in all areas of maths.

So, make sure you understand how to work with fractions!

Assumed Knowledge

Students should be familiar with elementary BODMAS operations ( how to add, subtract, divide and multiply in the correct order ) and simple equations.

Students should know how to find the LCM ( lowest common multiple ) and HCF ( highest common factor ) of a group of numbers.

Do you know it all, or just a fraction?

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What are fractions?

Generally, we refer to fractions as part of a whole.

For example:

  • \(\frac{1}{2}\) (half) a pizza
  • \(\frac{3}{4}\) (three-quarters) of an hour.

\(3\frac{2}{3}\) means there are \(3\) whole objects, as well as \(\frac{2}{3}\) of an object.

You can picture \(2\frac{2}{3}\) like so:

Math-Guides-Year-7-Fraction-Example-1

Fractions can also be used to describe the division of numbers into equal parts; \( \frac{2}{3} \) means dividing \(2\) into \(3\) equal parts.

Fractions are written as one number divided by another.

  • The top number is called the numerator , and the bottom number is called the denominator .
  • The bar in between them is called the vinculum ( you don’t need to remember this ), which is another way of writing \(\div\) ( you need to remember this! ).
  • This then means that the numerator is divided by the denominator. Fractions are just another way to express division!

Eg. \(\frac{2}{3}\) is just another way to write \(2 \div 3\).

Types of fractions

Proper fractions.

In proper fractions, the numerator is less than the denominator

For example, \(\frac{3}{5}\)

Improper fractions

The numerator is greater than the denominator.

For example, \(\frac{7}{2}\)

Mixed numbers

A combination of a whole number and a fraction.

For example,  \(3\frac{2}{3}\)

Expressing mixed numbers as improper fractions and vice versa

A mixed fraction can also be expressed as an improper fraction, and an improper fraction can be expressed as a mixed fraction.

Expressing mixed fractions as improper fractions

To do this, we:

  • Multiply the whole number by the denominator of the fraction
  • Add this number to the numerator
  • Write the new number over the original denominator

For example

\begin{align*} \color{blue}{3}\frac{\color{red}{2}}{\color{blue}{5}} =\color{blue}{3} + \frac{\color{red}{2}}{\color{blue}{5}} = \frac{\color{blue}{3×5}+\color{red}{2}}{5} =\frac{17}{5} \end{align*}

\begin{align*} 2\frac{7}{8} = 2 + \frac{7}{8} = \frac{2×8+7}{8} =\frac{25}{7}\\ \end{align*}

Expressing improper fractions as mixed numbers

  • Divide the numerator by the denominator
  • Find the remainder
  • The remainder becomes the new numerator (with the denominator remaining the same), and the number of times the denominator divides into the numerator becomes the whole number.

We can reverse the process of going from mixed numbers to improper fractions as follows:

\begin{align*} \frac{25}{9} = \frac{2×9+7}{9} = 2\frac{7}{9} \end{align*}

But this is a lot of work!

Instead we do the following:

Think : What is \( 25 \div 9 \)?

The answer is \( 2\) remainder \(7\).

Then write: \( 2 \frac{7}{9} \)

Think : What is \(17 \div 9 \)?

The answer is \( 8\) remainder \( 1\).

Then write: \( 8 \frac{1}{2} \).

Note : that there is a negative in this question.

Keep the negative symbol where it is! The conversion still follows the same process.

Equivalent fractions

Equivalent fractions are fractions that have the same mathematical value but have different numerators and denominators.

Although they may look different from each other, they are mathematically the same.

Eg. \(\frac{1}{2} \), \(\frac{2}{4}\), and \(\frac{3}{6}\) are all the same.

To change one fraction to another equivalent fraction, we multiply (or divide) the numerator and denominator by the same number.

We can find an equivalent for \( \frac{1}{2} \) by multiplying both the numerator and denominator by \(3\).

\( \rightarrow\) This gives us \( \frac{3}{6} \).

We can find an equivalent for\( \frac{10}{15} \)by dividing both number and denominator by \(5\).

\( \rightarrow\) This gives us \( \frac{2}{3} \).

1. What are some equivalent fractions for\( \frac{3}{4} \) and \( \frac{16}{28} \)?

\begin{align*} \frac{3}{4} \rightarrow \frac{6}{8}, \frac{9}{12}, \frac{30}{40} \end{align*}

\begin{align*} \frac{16}{20} \rightarrow \frac{8}{14}, \frac{4}{7}, \frac{32}{56} \end{align*}

Simplifying fractions

Simplifying a fraction means to rewrite the fraction as an equivalent fraction, so that the numerator and denominator are as small as possible .

Like equivalent fractions, you can simplify a fraction if its numerator and the denominator have a common factor.

We can divide both numerator and denominator by this number to create a simplified fraction that is equivalent to the original fraction.

You keep simplifying a fraction until the numerator and denominator don’t have a common factor anymore – this is its simplest form.

1. Simplify \( \frac{14}{22} \)

Both \(14\) and \(22\) are divisible by \(2\) , so we can divide both top and bottom:

\begin{align*} \frac{14}{22} = \frac{7}{11} \end{align*}

\(7\) and \(11\) don’t have any common factors. So, this is its simplest form.

What to ask yourself:

  • Yes – Divide both numerator and denominator by this number
  • No – This is the fraction’s simplest form.
  • Repeat step 1 until there are no numbers which will divide exactly into the numerator and denominator.

We usually look for the highest common factor when simplifying fractions. Don’t worry if you can’t identify it at first, you can always continue simplifying the fraction.

2. Simplify \( \frac{56}{64} \)

This looks like a hard fraction to simplify, but we can start off with an easy factor: \(2\).

Dividing both numerator and denominator by \(2\):

\begin{align*} \frac{56}{64} = \frac{28}{32} \end{align*}

Now it’s a little easier to identify common factors.

\(28\) and \(32\) are both divisible by \(4\), so:

\begin{align*} \frac{28}{32} = \frac{7}{8} \end{align*}

\(7\) and \(8\) don’t have a common factor.

So, this \(\frac{7}{8}\) is the simplest form!

Ordering fractions

Comparing the size of fractions.

In order to compare the size of two fractions, the first step is to choose a new denominator for both fractions.

The new denominator should be a number which both denominators divide into exactly – preferably the Lowest Common Multiple (LCM) of the two numbers.

Say we want to compare \(\frac{3}{4}\) and \(\frac{5}{7}\).

The denominators are \(4\) and \(7\).

We can choose \(28\) as the new denominator since it is the smallest number that both \(4\) and \(7\) are factors of.

Then we change both fractions into an equivalent fraction with \(28\) as the denominator. \begin{align*} \frac{3}{4} = \frac{21}{28} \end{align*}

( by multiplying both numerator and denominator by \(7\) to create an equivalent fraction )

\begin{align*} \frac{5}{7} = \frac{20}{28} \end{align*}

( by multiplying both numerator and denominator by \(4\) to create an equivalent fraction )

We now compare the numerators ONLY \(-21\) is larger than \(20\).

So we know that \( \frac{21}{28} > \frac{5}{7} \).

However, we want to write it in terms of the original question.

Hence, \( \frac{3}{4} > \frac{5}{7} \).

Addition and subtraction of fractions

Fractions can only be added or subtracted if they have the same denominator.

With same denominator

If the fractions in the question have the same denominator already, we simply add or subtract the numerators without changing the denominator .

You should then simplify the answer (mixed fraction if applicable).

\( \frac{1}{8} + \frac{5}{8} = \frac{6}{8} = \frac{3}{4} \) ( simplified )

\( \frac{5}{9} + \frac{7}{9} = \frac{14}{9} = 1\frac{5}{9} \) ( simplified into mixed fraction )

1. What number should replace in the following?

\begin{align*} \frac{1}{6} + \frac{\alpha}{6} = \frac{4}{6} \end{align*}

Since both fractions have the same denominator, \( \alpha \) must add to \( 1 \) to give \( 4 \).

Hence, \( \alpha \) is \( 3\) .

Different denominator

If the two fractions have a different denominator ( which is the case most of the time ), we need to change them so that they have the same denominator .

Remember, we can add or subtract fractions ONLY when they have the same denominator.

To do this:

  • Find a common denominator (lowest common multiple of the two denominators)
  • Convert each fraction to an equivalent fraction with the new denominator
  • Add/subtract the numerators without changing the denominator.

1. What is the common denominator of \( \frac{5}{8} \),\( \frac{7}{6} \) and \( \frac{2}{3} \)? 

The lowest common multiple of \(8\), \(6\) and \( 3\) is \(24\).

2. Simplify \( \frac{2}{3} + \frac{5}{6} \)

The lowest common multiple of \( 3\) and \(6\) is \(6\).

This means we have to change \(\frac{2}{3}\)into an equivalent fraction with \(6\) as the denominator, in order for us to add the two fractions.

\begin{align*} \frac{2}{3} + \frac{5}{6} &= \frac{4}{6} + \frac{5}{6} \\ &= \frac{9}{6} \\ &= \frac{3}{2} \\ &= 1 \frac{1}{2}\\ \end{align*}

3. What number \( \alpha \) should replace in the following?

After changing each fraction to an equivalent with denominator \(15\), we get:

\begin{align*} \frac{5}{15} + \frac{3\alpha}{15} = \frac{11}{15} \end{align*}

Then \( 5 + 3\alpha = 11 \)

So, \( \alpha = 2 \)

Mixed fractions

When a question involved mixed fractions, it is sometimes easier to add/subtract the whole numbers and then add/subtract the fractional parts.

1. Simplify \( 1 \frac{3}{4} + 2 \frac{1}{3} = 1\frac{1}{2} \)

\begin{align*} 1\frac{3}{4} +2 \frac{1}{3} – 1 \frac{1}{2} &= (1+2-1) + \frac{3}{4} + \frac{1}{3} – \frac{1}{2} \\ &= 2 \frac{9+4-6}{12} \\ &= 2\frac{7}{12} \end{align*}

The other method is to simply convert the mixed fractions into improper fractions before adding or subtracting.

You may choose to convert the answer back to a mixed number.

1.  Simplify \( 1 \frac{3}{4} + 2 \frac{1}{3} = 1\frac{1}{2} \)

\begin{align*} 1 \frac{3}{4} + 2\frac{1}{3} – 1\frac{1}{2} &= \frac{7}{4} + \frac{7}{3} – \frac{3}{2} \\ &= \frac{21 + 28 – 18}{12} \\ &= \frac{31}{12} \\ &= 2 \frac{7}{12} \end{align*}

Multiplication and division of fractions

It is IMPORTANT that you rewrite all the fractions as improper fractions before starting operations.

Unlike for addition and subtraction, it doesn’t matter if the denominators are different in multiplication and division.

Multiplication of fractions

The product of two fractions is found by multiplying the numerators and multiplying the denominators separately.

\( \frac{3}{4} \times \frac{2}{7} = \frac{3\times 2}{4\times 7} = \frac{6}{28} = \frac{3}{14} \) ( after simplification)

Another trick here is that fractions can be simplified before multiplying… you can ‘ cancel ’ out numbers using common factors.

This is similar to simplifying a single fraction, but this involves dividing a common factor into the numerator and denominator of different fractions.

In the example above, we see that \(2\) ( the numerator of the 2nd fraction ) and \(4\) ( the denominator of the 1st fraction ) have a common factor of \(2\).

Thus, we can divide both numbers by \(2\) first to convert our equation into a simpler multiplication step:

\begin{align*} \frac{3}{\color{red}{4}}\times \frac{\color{red}{2}}{7} = \frac{3}{2}\times \frac{1}{7} = \frac{3}{14} \end{align*}

Remember, you CANNOT do this for addition and subtraction.

The cancellation technique between different fractions ONLY works for MULTIPLICATION (and division), when the numerator and denominator cancel.

You  cannot cancel across two numerators.

Multiplying mixed numbers

To multiply mixed numbers, we have to change them to improper fractions first . You cannot multiply the whole numbers and fractions separately.

Once converted, we can multiply them as we usually do – by multiplying the numerator and denominator separately.

\begin{align*} \frac{1}{5} \times 2\frac{1}{7} &= \frac{6}{5} \times \frac{15}{7}\\ &=\frac{90}{35}\\ &=\frac{18}{7}\\ &=2\frac{2}{7} \end{align*}

Note: In this question, we could also cancel before multiplication!

\begin{align*} \frac{6}{5} \times \frac{15}{7} &= \frac{6}{1} \times \frac{3}{7}\\ &=\frac{18}{7} \end{align*}

Division of fractions

The reciprocal of a fraction is essentially the fraction turned upside down.

For example, the reciprocal of \(\frac{5}{12}\) is \( \frac{12}{5}\).

Reciprocals are always used in the division of fractions.

To divide two fractions, we change the question into a multiplication.

We keep one fraction the same, then multiply it by the reciprocal of the other fraction.

\begin{align*} \frac{3}{4} \div \color{red}{\frac{6}{7}} &= \frac{3}{4}\times \color{red}{\frac{7}{6}}\\ &=\frac{1}{4}\times \frac{7}{2}\\ &=\frac{7}{8} \end{align*}

Applications

The unitary method.

This is a technique for solving problems by first finding the value of ONE unit, then finding the value of \(X\) units by multiplication.

1. If \(5\) pens cost \($10\) , how much do \(8\) pens cost?

The cost of \(1\) pen is \(105 = $2\).

The cost of \(8\) pens is \($28 = $16\) .

This can be solved in one step by multiplying by  \(\frac{8}{5}\). This fraction multiplication carries out the same division by \(5\), then multiplication by \(8\).

1. Mixed fraction

To express a mixed fraction as an improper fraction, multiply the denominator by the whole number and add the numerator ( this is the new numerator ).

The denominator stays the same.

2. Equivalent fractions

Multiply a number to both numerator and denominator, or divide the numerator and denominator by a common factor.

3. Simplifying fractions

The lowest equivalent form that the fraction can have.

4. Ordering fractions

Change each fraction to an equivalent fraction with the same denominator, then compare the numerators

5. Adding and subtracting fractions

If the denominators are different, find the lowest common multiple of the two denominators.

Then, find equivalents of each fraction with the new denominator.

Add/subtract the numerators without changing the denominator

6. Multiplying fractions

If the fraction is mixed, convert it to an improper fraction first.

Multiply the numerators, then multiply the denominators separately.

Your answer is \(\frac{top \times top}{bottom \times bottom}\).

7. Dividing fractions

Multiply one fraction by the reciprocal (flipped) of the other.

Checkpoint questions and solutions

1. Rewrite \( \frac{-17}{2} \) as a mixed number.

2. Simplify \(\frac{84}{144}\)

3. What are \( \alpha \) and \( \beta \) in:

4. Arrange the following group of fractions in ascending order (from smallest to largest)

5. Simplify \(\frac{7}{13} – \Big{(} \frac{2}{13} – \frac{11}{13} \Big{)} \)

6. Simplify \( \frac{5}{8} – \Big{(} \frac{9}{10} – \frac{3}{4} \Big{)} \)

7. Calculate   \( \frac{4}{21} \times \frac{5}{8} \times \frac{-13}{15}\)

8. Simplify \( \frac{3}{4} + 1\frac{1}{15} \times 4 \frac{2}{7} – 1\frac{1}{2}\)

9. Evaluate \(3\frac{5}{9} \div 9 \frac{1}{3}\)

\begin{align*} – \frac{17}{2} =  -\frac{(8 \times 2) + 1}{2} = -8 \frac{1}{2} \end{align*}

\begin{align*} \frac{84}{144} = \frac{7}{12} \end{align*}

( both \(84\) and \(144\) are divisible by \(12\) )

\begin{align*} \frac{5}{7} = \frac{ \alpha}{63} = \frac{-35}{ \beta} \end{align*}

This question converts \(\frac{5}{7}\) to equivalent fractions.

We multiply \(7\) in the denominator by \(9\) to get \(63\) , so we multiply the numerator by \(7\) as well.

\begin{align*} \alpha = 5 \times 7 = 35 \end{align*}

Similarly, for \(-35\) as the numerator, we have to multiply \(7\) by \(-7\) .

\begin{align*} \beta = 7 \times -7 = 35 \end{align*}

\begin{align*} \frac{3}{4}; \frac{13}{24}; \frac{5}{12}; \frac{5}{6} \end{align*}

To compare these fractions, we much change their denominators.

The lowest common multiple of all the denominators is \(24\).

Find the equivalent of each fraction with \(24\) as the denominator, then compare the numerator.

\begin{align*} \frac{3}{4} = \frac{3\times 6}{4\times 6} &= \frac{18}{24} \\ \frac{5}{12} = \frac{5\times 2}{12\times 2} &= \frac{10}{24} \\ \frac{5}{6} = \frac{5\times 4}{6\times 4} &= \frac{20}{24} \end{align*}

Now, \( \frac{10}{24} < \frac{13}{24} < \frac{18}{24} < \frac{20}{24} \).

Using the original fractions, \( \frac{5}{12} < \frac{13}{24} < \frac{3}{4} < \frac{5}{6} \).

Using BODMAS, we need to compute the inside of the brackets first.

\begin{align*} \frac{2}{13} – \frac{11}{13} = \frac{-9}{13} \end{align*}

( Note: be careful when subtracting negative fractions! )

\begin{align*} \frac{7}{13} – \Big {(} \frac{-9}{13} \Big{)} = \frac{7}{13} + \frac{9}{13} = \frac{16}{13} \end{align*}

The lowest common multiple of \(8\), \(10\) and \(4\) is \(40\).

Changing all the fractions to this equivalent denominator gives us:

\begin{align*} \frac{25}{40} – \Big{(} \frac{36}{40} – \frac{30}{30} \Big{)}\\ &= \frac{25}{40} – \Big{(} \frac{6}{40} \Big{)}\\ &= \frac{19}{40} \end{align*}

Try to cancel numbers before you start multiplying.

\begin{align*} \frac{1}{21} \times \frac{1}{2} \times \frac{-13}{3}\\ &=  – \frac{13}{21 \times 2 \times 3}\\ &=  – \frac{13}{126} \end{align*}

Do a quick check for your solution: based off the original question, should it be negative or positive?

Using BODMAS, we should compute the multiplications first, then addition/subtraction.

\begin{align*} \frac{3}{4} + 1\frac{1}{15} \times 4 \frac{2}{7} – 1\frac{1}{2}\\ &= \frac{3}{4} + \frac{32}{7} – \frac{3}{2}\\ &= \frac{21}{28} + \frac{128}{28}-\frac{42}{28}\\ &=\frac{107}{28} \end{align*}

In divisions, remember to convert all mixed fractions to improper fractions.

\begin{align*} 3 \frac{5}{9} \div 9 \frac{1}{3} &= \frac{32}{9} \div \frac{28}{3}\\ &=\frac{32}{9} \times \frac{3}{2} \\ &=\frac{8}{3} \times \frac{1}{7} \\ &= \frac{8}{21} \end{align*}

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Part 2: Decimals & Percentages | Beginners Guide to Year 7 Maths

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Fractions Worksheets

Welcome to the fractions worksheets page at Math-Drills.com where the cup is half full! This is one of our more popular pages most likely because learning fractions is incredibly important in a person's life and it is a math topic that many approach with trepidation due to its bad rap over the years. Fractions really aren't that difficult to master especially with the support of our wide selection of worksheets.

This page includes Fractions worksheets for understanding fractions including modeling, comparing, ordering, simplifying and converting fractions and operations with fractions. We start you off with the obvious: modeling fractions. It is a great idea if students can actually understand what a fraction is, so please do spend some time with the modeling aspect. Relating modeling to real life helps a great deal too as it is much easier to relate to half a cookie than to half a square. Ask most students what you get if you add half a cookie and another half a cookie, and they'll probably let you know that it makes one delicious snack.

The other fractions worksheets on this page are devoted to helping students understand the concept of fractions. From comparing and ordering to simplifying and converting... by the time students master the material on this page, operations of fractions will be a walk in the park.

Most Popular Fractions Worksheets this Week

Adding and Subtracting Two Mixed Fractions with Similar Denominators, Mixed Fractions Results and Some Simplifying (Fillable)

Fraction Circles

fractions homework year 7

Fraction circle manipulatives are mainly used for comparing fractions, but they can be used for a variety of other purposes such as representing and identifying fractions, adding and subtracting fractions, and as probability spinners. There are a variety of options depending on your purpose. Fraction circles come in small and large versions, labeled and unlabeled versions and in three different color schemes: black and white, color, and light gray. The color scheme matches the fraction strips and use colors that are meant to show good contrast among themselves. Do note that there is a significant prevalence of color-blindness in the population, so don't rely on all students being able to differentiate the colors.

Suggested activity for comparing fractions: Photocopy the black and white version onto an overhead projection slide and another copy onto a piece of paper. Alternatively, you can use two pieces of paper and hold them up to the light for this activity. Use a pencil to represent the first fraction on the paper copy. Use a non-permanent overhead pen to represent the second fraction. Lay the slide over the paper and compare the two circles. You should easily be able to tell which is greater or lesser or if the two fractions are equal. Re-use both sheets by erasing the pencil and washing off the marker.

Adding fractions with fraction circles will involve two copies on paper. Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work.

  • Small Fraction Circles Small Fraction Circles in Black and White with Labels Small Fraction Circles in Color with Labels Small Fraction Circles in Light Gray with Labels Small Fraction Circles in Black and White Unlabeled Small Fraction Circles in Color Unlabeled Small Fraction Circles in Light Gray Unlabeled
  • Large Fraction Circles Large Fraction Circles in Black and White with Labels Large Fraction Circles in Color with Labels Large Fraction Circles in Light Gray with Labels Large Fraction Circles in Black and White Unlabeled Large Fraction Circles in Color Unlabeled Large Fraction Circles in Light Gray Unlabeled

Fraction Strips

fractions homework year 7

Fractions strips are often used for comparing fractions. Students are able to see quite easily the relationships and equivalence between fractions with different denominators. It can be quite useful for students to have two copies: one copy cut into strips and the other copy kept intact. They can then use the cut-out strips on the intact page to individually compare fractions. For example, they can use the halves strip to see what other fractions are equivalent to one-half. This can also be accomplished with a straight edge such as a ruler without cutting out any strips. Pairs or groups of strips can also be compared side-by-side if they are cut out. Addition and subtraction (etc.) are also possibilities; for example, adding a one-quarter and one-third can be accomplished by shifting the thirds strip so that it starts at the end of one-quarter then finding a strip that matches the end of the one-third mark (7/12 should do it).

Teachers might consider copying the fraction strips onto overhead projection acetates for whole class or group activities. Acetate versions are also useful as a hands-on manipulative for students in conjunction with an uncut page.

The "Smart" Fraction Strips include strips in a more useful order, eliminate the 7ths and 11ths strips as they don't have any equivalents and include 15ths and 16ths. The colors are consistent with the classic versions, so the two sets can be combined.

  • Classic Fraction Strips with Labels Classic Fraction Strips in Black and White With Labels Classic Fraction Strips in Color With Labels Classic Fraction Strips in Gray With Labels
  • Unlabeled Classic Fraction Strips Classic Fraction Strips in Black and White Unlabeled Classic Fraction Strips in Color Unlabeled Classic Fraction Strips in Gray Unlabeled
  • Smart Fraction Strips with Labels Smart Fraction Strips in Black and White With Labels Smart Fraction Strips in Color With Labels Smart Fraction Strips in Gray With Labels

Modeling fractions

fractions homework year 7

Fractions can represent parts of a group or parts of a whole. In these worksheets, fractions are modeled as parts of a group. Besides using the worksheets in this section, you can also try some more interesting ways of modeling fractions. Healthy snacks can make great models for fractions. Can you cut a cucumber into thirds? A tomato into quarters? Can you make two-thirds of the grapes red and one-third green?

  • Modeling Fractions with Groups of Shapes Coloring Groups of Shapes to Represent Fractions Identifying Fractions from Colored Groups of Shapes (Only Simplified Fractions up to Eighths) Identifying Fractions from Colored Groups of Shapes (Halves Only) Identifying Fractions from Colored Groups of Shapes (Halves and Thirds) Identifying Fractions from Colored Groups of Shapes (Halves, Thirds and Fourths) Identifying Fractions from Colored Groups of Shapes (Up to Fifths) Identifying Fractions from Colored Groups of Shapes (Up to Sixths) Identifying Fractions from Colored Groups of Shapes (Up to Eighths) Identifying Fractions from Colored Groups of Shapes (OLD Version; Print Too Light)
  • Modeling Fractions with Rectangles Modeling Halves Modeling Thirds Modeling Halves and Thirds Modeling Fourths (Color Version) Modeling Fourths (Grey Version) Coloring Fourths Models Modeling Fifths Coloring Fifths Models Modeling Sixths Coloring Sixths Models
  • Modeling Fractions with Circles Modeling Halves, Thirds and Fourths Coloring Halves, Thirds and Fourths Modeling Halves, Thirds, Fourths, and Fifths Coloring Halves, Thirds, Fourths, and Fifths Modeling Halves to Sixths Coloring Halves to Sixths Modeling Halves to Eighths Coloring Halves to Eighths Modeling Halves to Twelfths Coloring Halves to Twelfths

Ratio and Proportion Worksheets

fractions homework year 7

The equivalent fractions models worksheets include only the "baking fractions" in the A versions. To see more difficult and varied fractions, please choose the B to J versions after loading the A version. More picture ratios can be found on holiday and seasonal pages. Try searching for picture ratios to find more.

  • Picture Ratios Autumn Trees Part-to-Part Picture Ratios ( Grouped ) Autumn Trees Part-to-Part and Part-to-Whole Picture Ratios ( Grouped )
  • Equivalent Fractions Equivalent Fractions With Blanks ( Multiply Right ) ✎ Equivalent Fractions With Blanks ( Divide Left ) ✎ Equivalent Fractions With Blanks ( Multiply Right or Divide Left ) ✎ Equivalent Fractions With Blanks ( Divide Right ) ✎ Equivalent Fractions With Blanks ( Multiply Left ) ✎ Equivalent Fractions With Blanks ( Multiply Left or Divide Right ) ✎ Equivalent Fractions With Blanks ( Multiply or Divide Right ) ✎ Equivalent Fractions With Blanks ( Multiply or Divide Left ) ✎ Equivalent Fractions With Blanks ( Multiply or Divide in Either Direction ) ✎ Are These Fractions Equivalent? (Multiplier 2 to 5) Are These Fractions Equivalent? (Multiplier 5 to 15) Equivalent Fractions Models Equivalent Fractions Models with the Simplified Fraction First Equivalent Fractions Models with the Simplified Fraction Second
  • Equivalent Ratios Equivalent Ratios with Blanks Only on Right Equivalent Ratios with Blanks Anywhere Equivalent Ratios with x 's

Comparing and Ordering Fractions

fractions homework year 7

Comparing fractions involves deciding which of two fractions is greater in value or if the two fractions are equal in value. There are generally four methods that can be used for comparing fractions. First is to use common denominators . If both fractions have the same denominator, comparing the fractions simply involves comparing the numerators. Equivalent fractions can be used to convert one or both fractions, so they have common denominators. A second method is to convert both fractions to a decimal and compare the decimal numbers. Visualization is the third method. Using something like fraction strips , two fractions can be compared with a visual tool. The fourth method is to use a cross-multiplication strategy where the numerator of the first fraction is multiplied by the denominator of the second fraction; then the numerator of the second fraction is multiplied by the denominator of the first fraction. The resulting products can be compared to decide which fraction is greater (or if they are equal).

  • Comparing Proper Fractions Comparing Proper Fractions to Sixths ✎ Comparing Proper Fractions to Ninths (No Sevenths) ✎ Comparing Proper Fractions to Ninths ✎ Comparing Proper Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Proper Fractions to Twelfths ✎

The worksheets in this section also include improper fractions. This might make the task of comparing even easier for some questions that involve both a proper and an improper fraction. If students recognize one fraction is greater than one and the other fraction is less than one, the greater fraction will be obvious.

  • Comparing Proper and Improper Fractions Comparing Proper and Improper Fractions to Sixths ✎ Comparing Proper and Improper Fractions to Ninths (No Sevenths) ✎ Comparing Proper and Improper Fractions to Ninths ✎ Comparing Proper and Improper Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Proper and Improper Fractions to Twelfths ✎ Comparing Improper Fractions to Sixths ✎ Comparing Improper Fractions to Ninths (No Sevenths) ✎ Comparing Improper Fractions to Ninths ✎ Comparing Improper Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Improper Fractions to Twelfths ✎

This section additionally includes mixed fractions. When comparing mixed and improper fractions, it is useful to convert one of the fractions to the other's form either in writing or mentally. Converting to a mixed fraction is probably the better route since the first step is to compare the whole number portions, and if one is greater than the other, the proper fraction portion can be ignored. If the whole number portions are equal, the proper fractions must be compared to see which number is greater.

  • Comparing Proper, Improper and Mixed Fractions Comparing Proper, Improper and Mixed Fractions to Sixths ✎ Comparing Proper, Improper and Mixed Fractions to Ninths (No Sevenths) ✎ Comparing Proper, Improper and Mixed Fractions to Ninths ✎ Comparing Proper, Improper and Mixed Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Proper, Improper and Mixed Fractions to Twelfths ✎
  • Comparing Improper and Mixed Fractions Comparing Improper and Mixed Fractions to Sixths ✎ Comparing Improper and Mixed Fractions to Ninths (No Sevenths) ✎ Comparing Improper and Mixed Fractions to Ninths ✎ Comparing Improper and Mixed Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Improper and Mixed Fractions to Twelfths ✎
  • Comparing Mixed Fractions Comparing Mixed Fractions to Sixths ✎ Comparing Mixed Fractions to Ninths (No Sevenths) ✎ Comparing Mixed Fractions to Ninths ✎ Comparing Mixed Fractions to Twelfths (No Sevenths; No Elevenths) ✎ Comparing Mixed Fractions to Twelfths ✎

Many of the same strategies that work for comparing fractions also work for ordering fractions. Using manipulatives such as fraction strips, using number lines, or finding decimal equivalents will all have your student(s) putting fractions in the correct order in no time. We've probably said this before, but make sure that you emphasize that when comparing or ordering fractions, students understand that the whole needs to be the same. Comparing half the population of Canada with a third of the population of the United States won't cut it. Try using some visuals to reinforce this important concept. Even though we've included number lines below, feel free to use your own strategies.

  • Ordering Fractions with Easy Denominators on a Number Line Ordering Fractions with Easy Denominators to 10 on a Number Line Ordering Fractions with Easy Denominators to 24 on a Number Line Ordering Fractions with Easy Denominators to 60 on a Number Line Ordering Fractions with Easy Denominators to 100 on a Number Line
  • Ordering Fractions with Easy Denominators on a Number Line (Including Negative Fractions) Ordering Fractions with Easy Denominators to 10 + Negatives on a Number Line Ordering Fractions with Easy Denominators to 24 + Negatives on a Number Line Ordering Fractions with Easy Denominators to 60 + Negatives on a Number Line Ordering Fractions with Easy Denominators to 100 + Negatives on a Number Line
  • Ordering Fractions with All Denominators on a Number Line Ordering Fractions with All Denominators to 10 on a Number Line Ordering Fractions with All Denominators to 24 on a Number Line Ordering Fractions with All Denominators to 60 on a Number Line Ordering Fractions with All Denominators to 100 on a Number Line
  • Ordering Fractions with All Denominators on a Number Line (Including Negative Fractions) Ordering Fractions with All Denominators to 10 + Negatives on a Number Line Ordering Fractions with All Denominators to 24 + Negatives on a Number Line Ordering Fractions with All Denominators to 60 + Negatives on a Number Line Ordering Fractions with All Denominators to 100 + Negatives on a Number Line

The ordering fractions worksheets in this section do not include a number line, to allow for students to use various sorting strategies.

  • Ordering Positive Fractions Ordering Positive Fractions with Like Denominators Ordering Positive Fractions with Like Numerators Ordering Positive Fractions with Like Numerators or Denominators Ordering Positive Fractions with Proper Fractions Only Ordering Positive Fractions with Improper Fractions Ordering Positive Fractions with Mixed Fractions Ordering Positive Fractions with Improper and Mixed Fractions
  • Ordering Positive and Negative Fractions Ordering Positive and Negative Fractions with Like Denominators Ordering Positive and Negative Fractions with Like Numerators Ordering Positive and Negative Fractions with Like Numerators or Denominators Ordering Positive and Negative Fractions with Proper Fractions Only Ordering Positive and Negative Fractions with Improper Fractions Ordering Positive and Negative Fractions with Mixed Fractions Ordering Positive and Negative Fractions with Improper and Mixed Fractions

Simplifying & Converting Fractions Worksheets

fractions homework year 7

Rounding fractions helps students to understand fractions a little better and can be applied to estimating answers to fractions questions. For example, if one had to estimate 1 4/7 × 6, they could probably say the answer was about 9 since 1 4/7 is about 1 1/2 and 1 1/2 × 6 is 9.

  • Rounding Fractions with Helper Lines Rounding Fractions to the Nearest Whole with Helper Lines Rounding Mixed Numbers to the Nearest Whole with Helper Lines Rounding Fractions to the Nearest Half with Helper Lines Rounding Mixed Numbers to the Nearest Half with Helper Lines
  • Rounding Fractions Rounding Fractions to the Nearest Whole Rounding Mixed Numbers to the Nearest Whole Rounding Fractions to the Nearest Half Rounding Mixed Numbers to the Nearest Half

Learning how to simplify fractions makes a student's life much easier later on when learning operations with fractions. It also helps them to learn that different-looking fractions can be equivalent. One way of demonstrating this is to divide out two equivalent fractions. For example 3/2 and 6/4 both result in a quotient of 1.5 when divided. By practicing simplifying fractions, students will hopefully recognize unsimplified fractions when they start adding, subtracting, multiplying and dividing with fractions.

  • Simplifying Fractions Simplify Fractions (easier) Simplify Fractions (harder) Simplify Improper Fractions (easier) Simplify Improper Fractions (harder)
  • Converting Between Improper and Mixed Fractions Converting Mixed Fractions to Improper Fractions Converting Improper Fractions to Mixed Fractions Converting Between (both ways) Mixed and Improper Fractions
  • Converting Between Fractions and Decimals Converting Fractions to Terminating Decimals Converting Fractions to Terminating and Repeating Decimals Converting Terminating Decimals to Fractions Converting Terminating and Repeating Decimals to Fractions Converting Fractions to Hundredths
  • Converting Between Fractions, Decimals, Percents and Ratios with Terminating Decimals Only Converting Fractions to Decimals, Percents and Part-to- Part Ratios ( Terminating Decimals Only) Converting Fractions to Decimals, Percents and Part-to- Whole Ratios ( Terminating Decimals Only) Converting Decimals to Fractions, Percents and Part-to- Part Ratios ( Terminating Decimals Only) Converting Decimals to Fractions, Percents and Part-to- Whole Ratios ( Terminating Decimals Only) Converting Percents to Fractions, Decimals and Part-to- Part Ratios ( Terminating Decimals Only) Converting Percents to Fractions, Decimals and Part-to- Whole Ratios ( Terminating Decimals Only) Converting Part-to-Part Ratios to Fractions, Decimals and Percents ( Terminating Decimals Only) Converting Part-to-Whole Ratios to Fractions, Decimals and Percents ( Terminating Decimals Only) Converting Various Fractions, Decimals, Percents and Part-to- Part Ratios ( Terminating Decimals Only) Converting Various Fractions, Decimals, Percents and Part-to- Whole Ratios ( Terminating Decimals Only)
  • Converting Between Fractions, Decimals, Percents and Ratios with Terminating and Repeating Decimals Converting Fractions to Decimals, Percents and Part-to- Part Ratios Converting Fractions to Decimals, Percents and Part-to- Whole Ratios Converting Decimals to Fractions, Percents and Part-to- Part Ratios Converting Decimals to Fractions, Percents and Part-to- Whole Ratios Converting Percents to Fractions, Decimals and Part-to- Part Ratios Converting Percents to Fractions, Decimals and Part-to- Whole Ratios Converting Part-to-Part Ratios to Fractions, Decimals and Percents Converting Part-to-Whole Ratios to Fractions, Decimals and Percents Converting Various Fractions, Decimals, Percents and Part-to- Part Ratios Converting Various Fractions, Decimals, Percents and Part-to- Whole Ratios Converting Various Fractions, Decimals, Percents and Part-to- Part Ratios with 7ths and 11ths Converting Various Fractions, Decimals, Percents and Part-to- Whole Ratios with 7ths and 11ths

Multiplying Fractions

fractions homework year 7

Multiplying fractions is usually less confusing operationally than any other operation and can be less confusing conceptually if approached in the right way. The algorithm for multiplying is simply multiply the numerators then multiply the denominators. The magic word in understanding the multiplication of fractions is, "of." For example what is two-thirds OF six? What is a third OF a half? When you use the word, "of," it gets much easier to visualize fractions multiplication. Example: cut a loaf of bread in half, then cut the half into thirds. One third OF a half loaf of bread is the same as 1/3 x 1/2 and tastes delicious with butter.

  • Multiplying Two Proper Fraction Multiplying Two Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ ✎ Multiplying Two Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Proper Fractions with No Simplifying (Printable Only) Multiplying Two Proper Fractions with All Simplifying (Printable Only) Multiplying Two Proper Fractions with Some Simplifying (Printable Only)
  • Multiplying Proper and Improper Fractions Multiplying Proper and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions with No Simplifying (Printable Only) Multiplying Proper and Improper Fractions with All Simplifying (Printable Only) Multiplying Proper and Improper Fractions with Some Simplifying (Printable Only)
  • Multiplying Two Improper Fractions Multiplying Two Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Improper Fractions with No Simplifying (Printable Only) Multiplying Two Improper Fractions with All Simplifying (Printable Only) Multiplying Two Improper Fractions with Some Simplifying (Printable Only)
  • Multiplying Proper and Mixed Fractions Multiplying Proper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper and Mixed Fractions with No Simplifying (Printable Only) Multiplying Proper and Mixed Fractions with All Simplifying (Printable Only) Multiplying Proper and Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying Two Mixed Fractions Multiplying Two Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Two Mixed Fractions with No Simplifying (Printable Only) Multiplying Two Mixed Fractions with All Simplifying (Printable Only) Multiplying Two Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying Whole Numbers and Proper Fractions Multiplying Whole Numbers and Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Proper Fractions with No Simplifying (Printable Only) Multiplying Whole Numbers and Proper Fractions with All Simplifying (Printable Only) Multiplying Whole Numbers and Proper Fractions with Some Simplifying (Printable Only)
  • Multiplying Whole Numbers and Improper Fractions Multiplying Whole Numbers and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Improper Fractions with No Simplifying (Printable Only) Multiplying Whole Numbers and Improper Fractions with All Simplifying (Printable Only) Multiplying Whole Numbers and Improper Fractions with Some Simplifying (Printable Only)
  • Multiplying Whole Numbers and Mixed Fractions Multiplying Whole Numbers and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Whole Numbers and Mixed Fractions with No Simplifying (Printable Only) Multiplying Whole Numbers and Mixed Fractions with All Simplifying (Printable Only) Multiplying Whole Numbers and Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying Proper, Improper and Mixed Fractions Multiplying Proper, Improper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper, Improper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper, Improper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Proper, Improper and Mixed Fractions with No Simplifying (Printable Only) Multiplying Proper, Improper and Mixed Fractions with All Simplifying (Printable Only) Multiplying Proper, Improper and Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying 3 Fractions Multiplying 3 Proper Fractions (Fillable, Savable, Printable) ✎ Multiplying 3 Proper and Improper Fractions (Fillable, Savable, Printable) ✎ Multiplying Proper and Improper Fractions and Whole Numbers (3 factors) (Fillable, Savable, Printable) ✎ Multiplying Fractions and Mixed Fractions (3 factors) (Fillable, Savable, Printable) ✎ Multiplying 3 Mixed Fractions (Fillable, Savable, Printable) ✎

Dividing Fractions

fractions homework year 7

Conceptually, dividing fractions is probably the most difficult of all the operations, but we're going to help you out. The algorithm for dividing fractions is just like multiplying fractions, but you find the inverse of the second fraction or you cross-multiply. This gets you the right answer which is extremely important especially if you're building a bridge. We told you how to conceptualize fraction multiplication, but how does it work with division? Easy! You just need to learn the magic phrase: "How many ____'s are there in ______? For example, in the question 6 ÷ 1/2, you would ask, "How many halves are there in 6?" It becomes a little more difficult when both numbers are fractions, but it isn't a giant leap to figure it out. 1/2 ÷ 1/4 is a fairly easy example, especially if you think in terms of U.S. or Canadian coins. How many quarters are there in a half dollar?

  • Dividing Two Proper Fractions Dividing Two Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Proper Fractions with No Simplifying (Printable Only) Dividing Two Proper Fractions with All Simplifying (Printable Only) Dividing Two Proper Fractions with Some Simplifying (Printable Only)
  • Dividing Proper and Improper Fractions Dividing Proper and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Improper Fractions with No Simplifying (Printable Only) Dividing Proper and Improper Fractions with All Simplifying (Printable Only) Dividing Proper and Improper Fractions with Some Simplifying (Printable Only)
  • Dividing Two Improper Fractions Dividing Two Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Improper Fractions with No Simplifying (Printable Only) Dividing Two Improper Fractions with All Simplifying (Printable Only) Dividing Two Improper Fractions with Some Simplifying (Printable Only)
  • Dividing Proper and Mixed Fractions Dividing Proper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper and Mixed Fractions with No Simplifying (Printable Only) Dividing Proper and Mixed Fractions with All Simplifying (Printable Only) Dividing Proper and Mixed Fractions with Some Simplifying (Printable Only)
  • Dividing Two Mixed Fractions Dividing Two Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Two Mixed Fractions with No Simplifying (Printable Only) Dividing Two Mixed Fractions with All Simplifying (Printable Only) Dividing Two Mixed Fractions with Some Simplifying (Printable Only)
  • Dividing Whole Numbers and Proper Fractions Dividing Whole Numbers and Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Proper Fractions with No Simplifying (Printable Only) Dividing Whole Numbers and Proper Fractions with All Simplifying (Printable Only) Dividing Whole Numbers and Proper Fractions with Some Simplifying (Printable Only)
  • Dividing Whole Numbers and Improper Fractions Dividing Whole Numbers and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Improper Fractions with No Simplifying (Printable Only) Dividing Whole Numbers and Improper Fractions with All Simplifying (Printable Only) Dividing Whole Numbers and Improper Fractions with Some Simplifying (Printable Only)
  • Dividing Whole Numbers and Mixed Fractions Dividing Whole Numbers and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Whole Numbers and Mixed Fractions with No Simplifying (Printable Only) Dividing Whole Numbers and Mixed Fractions with All Simplifying (Printable Only) Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Printable Only)
  • Dividing Proper, Improper and Mixed Fractions Dividing Proper, Improper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper, Improper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Proper, Improper and Mixed Fractions with No Simplifying (Printable Only) Dividing Proper, Improper and Mixed Fractions with All Simplifying (Printable Only) Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Printable Only)
  • Dividing 3 Fractions Dividing 3 Fractions Dividing 3 Fractions (Some Whole Numbers) Dividing 3 Fractions (Some Mixed) Dividing 3 Mixed Fractions

Multiplying and Dividing Fractions

fractions homework year 7

This section includes worksheets with both multiplication and division mixed on each worksheet. Students will have to pay attention to the signs.

  • Multiplying and Dividing Two Proper Fractions Multiplying and Dividing Two Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Proper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Two Proper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Two Proper Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Proper and Improper Fractions Multiplying and Dividing Proper and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Improper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Proper and Improper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Proper and Improper Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Two Improper Fractions Multiplying and Dividing Two Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Improper Fractions (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Improper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Two Improper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Two Improper Fractions (Printable Only)
  • Multiplying and Dividing Proper and Mixed Fractions Multiplying and Dividing Proper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper and Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Proper and Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Proper and Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Two Mixed Fractions Multiplying and Dividing Two Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Two Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Two Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Two Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Whole Numbers and Proper Fractions Fractions Multiplying and Dividing Whole Numbers and Proper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Proper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Proper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Proper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Proper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Proper Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Whole Numbers and Improper Fractions Multiplying and Dividing Whole Numbers and Improper Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Improper Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Improper Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Improper Fractions with No Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Improper Fractions with All Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Improper Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Whole Numbers and Mixed Fractions Multiplying and Dividing Whole Numbers and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Whole Numbers and Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Whole Numbers and Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing Proper, Improper and Mixed Fractions Multiplying and Dividing Proper, Improper and Mixed Fractions with No Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper, Improper and Mixed Fractions with All Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying and Dividing Proper, Improper and Mixed Fractions with No Simplifying (Printable Only) Multiplying and Dividing Proper, Improper and Mixed Fractions with All Simplifying (Printable Only) Multiplying and Dividing Proper, Improper and Mixed Fractions with Some Simplifying (Printable Only)
  • Multiplying and Dividing 3 Fractions Multiplying/Dividing Fractions (three factors) Multiplying/Dividing Mixed Fractions (3 factors)

Adding Fractions

fractions homework year 7

Adding fractions requires the annoying common denominator. Make it easy on your students by first teaching the concepts of equivalent fractions and least common multiples. Once students are familiar with those two concepts, the idea of finding fractions with common denominators for adding becomes that much easier. Spending time on modeling fractions will also help students to understand fractions addition. Relating fractions to familiar examples will certainly help. For example, if you add a 1/2 banana and a 1/2 banana, you get a whole banana. What happens if you add a 1/2 banana and 3/4 of another banana?

  • Adding Two Proper Fractions with Equal Denominators and Proper Fraction Results Adding Two Proper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Proper Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Proper Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Proper Fractions Result, and Some Simplifying (Printable Only)
  • Adding Two Proper Fractions with Equal Denominators and Mixed Fraction Results Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Equal Denominators, Mixed Fractions Result, and Some Simplifying (Printable Only)
  • Adding Two Proper Fractions with Similar Denominators and Proper Fraction Results Adding Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Proper Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Proper Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Proper Fractions Result, and Some Simplifying (Printable Only)
  • Adding Two Proper Fractions with Similar Denominators and Mixed Fraction Results Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Similar Denominators, Mixed Fractions Result, and Some Simplifying (Printable Only)
  • Adding Two Proper Fractions with Unlike Denominators and Proper Fraction Results Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Proper Fractions Result, and Some Simplifying (Printable Only)
  • Adding Two Proper Fractions with Unlike Denominators and Mixed Fraction Results Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Result, and No Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Result, and All Simplifying (Printable Only) Adding Two Proper Fractions with Unlike Denominators, Mixed Fractions Result, and Some Simplifying (Printable Only)
  • Adding Proper and Improper Fractions with Equal Denominators Adding Proper and Improper Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Equal Denominators and No Simplifying (Printable Only) Adding Proper and Improper Fractions with Equal Denominators and All Simplifying (Printable Only) Adding Proper and Improper Fractions with Equal Denominators and Some Simplifying (Printable Only)
  • Adding Proper and Improper Fractions with Similar Denominators Adding Proper and Improper Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Similar Denominators and No Simplifying (Printable Only) Adding Proper and Improper Fractions with Similar Denominators and All Simplifying (Printable Only) Adding Proper and Improper Fractions with Similar Denominators and Some Simplifying (Printable Only)
  • Adding Proper and Improper Fractions with Unlike Denominators Adding Proper and Improper Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Proper and Improper Fractions with Unlike Denominators and No Simplifying (Printable Only) Adding Proper and Improper Fractions with Unlike Denominators and All Simplifying (Printable Only) Adding Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Printable Only)

A common strategy to use when adding mixed fractions is to convert the mixed fractions to improper fractions, complete the addition, then switch back. Another strategy which requires a little less brainpower is to look at the whole numbers and fractions separately. Add the whole numbers first. Add the fractions second. If the resulting fraction is improper, then it needs to be converted to a mixed number. The whole number portion can be added to the original whole number portion.

  • Adding Two Mixed Fractions with Equal Denominators Adding Two Mixed Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Equal Denominators and No Simplifying (Printable Only) Adding Two Mixed Fractions with Equal Denominators and All Simplifying (Printable Only) Adding Two Mixed Fractions with Equal Denominators and Some Simplifying (Printable Only)
  • Adding Two Mixed Fractions with Similar Denominators Adding Two Mixed Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Similar Denominators and Some Simplifying Adding Two Mixed Fractions with Similar Denominators and No Simplifying (Printable Only) Adding Two Mixed Fractions with Similar Denominators and All Simplifying (Printable Only) Adding Two Mixed Fractions with Similar Denominators and Some Simplifying (Printable Only)
  • Adding Two Mixed Fractions with Unlike Denominators Adding Two Mixed Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Two Mixed Fractions with Unlike Denominators and No Simplifying (Printable Only) Adding Two Mixed Fractions with Unlike Denominators and All Simplifying (Printable Only) Adding Two Mixed Fractions with Unlike Denominators and Some Simplifying (Printable Only)

Subtracting Fractions

fractions homework year 7

There isn't a lot of difference between adding and subtracting fractions. Both require a common denominator which requires some prerequisite knowledge. The only difference is the second and subsequent numerators are subtracted from the first one. There is a danger that you might end up with a negative number when subtracting fractions, so students might need to learn what it means in that case. When it comes to any concept in fractions, it is always a good idea to relate it to a familiar or easy-to-understand situation. For example, 7/8 - 3/4 = 1/8 could be given meaning in the context of a race. The first runner was 7/8 around the track when the second runner was 3/4 around the track. How far ahead was the first runner? (1/8 of the track).

  • Subtracting Two Proper Fractions with Equal Denominators and Proper Fraction Results Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Two Proper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Two Proper Fractions with Similar Denominators and Proper Fraction Results Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Two Proper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Two Proper Fractions with Unlike Denominators and Proper Fraction Results Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Two Proper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Proper and Improper Fractions with Equal Denominators and Proper Fraction Results Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Proper and Improper Fractions with Similar Denominators and Proper Fraction Results Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Proper and Improper Fractions with Unlike Denominators and Proper Fraction Results Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Proper Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Proper and Improper Fractions with Equal Denominators and Mixed Fraction Results Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Equal Denominators, Mixed Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Proper and Improper Fractions with Similar Denominators and Mixed Fraction Results Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Similar Denominators, Mixed Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Proper and Improper Fractions with Unlike Denominators and Mixed Fraction Results Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and No Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and All Simplifying (Printable Only) Subtracting Proper and Improper Fractions with Unlike Denominators, Mixed Fractions Results, and Some Simplifying (Printable Only)
  • Subtracting Mixed Fractions with Equal Denominators Subtracting Mixed Fractions with Equal Denominators, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Equal Denominators, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Equal Denominators, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Equal Denominators, and No Simplifying (Printable Only) Subtracting Mixed Fractions with Equal Denominators, and All Simplifying (Printable Only) Subtracting Mixed Fractions with Equal Denominators, and Some Simplifying (Printable Only)
  • Subtracting Mixed Fractions with Similar Denominators Subtracting Mixed Fractions with Similar Denominators, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Similar Denominators, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Similar Denominators, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Similar Denominators, and No Simplifying (Printable Only) Subtracting Mixed Fractions with Similar Denominators, and All Simplifying (Printable Only) Subtracting Mixed Fractions with Similar Denominators, and Some Simplifying (Printable Only)
  • Subtracting Mixed Fractions with Unlike Denominators Subtracting Mixed Fractions with Unlike Denominators, and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Unlike Denominators, and All Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Unlike Denominators, and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Mixed Fractions with Unlike Denominators, and No Simplifying (Printable Only) Subtracting Mixed Fractions with Unlike Denominators, and All Simplifying (Printable Only) Subtracting Mixed Fractions with Unlike Denominators, and Some Simplifying (Printable Only)

Adding and Subtracting Fractions

fractions homework year 7

Mixing up the signs on operations with fractions worksheets makes students pay more attention to what they are doing and allows for a good test of their skills in more than one operation.

  • Adding and Subtracting Proper and Improper Fractions Adding and Subtracting Proper and Improper Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Proper and Improper Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Proper and Improper Fractions with Equal Denominators and Some Simplifying (Printable Only) Adding and Subtracting Proper and Improper Fractions with Similar Denominators and Some Simplifying (Printable Only) Adding and Subtracting Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Printable Only)
  • Adding and Subtracting Mixed Fractions Adding and Subtracting Mixed Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Mixed Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Mixed Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ Adding and Subtracting Mixed Fractions with Equal Denominators and Some Simplifying (Printable Only) Adding and Subtracting Mixed Fractions with Similar Denominators and Some Simplifying (Printable Only) Adding and Subtracting Mixed Fractions with Unlike Denominators and Some Simplifying (Printable Only) Adding/Subtracting Three Fractions/Mixed Fractions

All Operations Fractions Worksheets

fractions homework year 7

  • All Operations with Two Proper Fractions with Equal Denominators and Proper Fraction Results All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and No Simplifying (Printable Only) All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and All Simplifying (Printable Only) All Operations with Two Proper Fractions with Equal Denominators, Proper Fractions Results and Some Simplifying (Printable Only)
  • All Operations with Two Proper Fractions with Similar Denominators and Proper Fraction Results All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and No Simplifying (Printable Only) All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and All Simplifying (Printable Only) All Operations with Two Proper Fractions with Similar Denominators, Proper Fractions Results and Some Simplifying (Printable Only)
  • All Operations with Two Proper Fractions with Unlike Denominators and Proper Fraction Results All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and No Simplifying (Printable Only) All Operations with Two Proper Fractions with Unlike Denominators, Proper Fractions Results and All Simplifying (Printable Only) All Operations with Two Proper Fractions with Unlike Denominators, Mixed Fractions Results and Some Simplifying (Printable Only)
  • All Operations with Proper and Improper Fractions with Equal Denominators All Operations with Proper and Improper Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Equal Denominators and No Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Equal Denominators and All Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Equal Denominators and Some Simplifying (Printable Only)
  • All Operations with Proper and Improper Fractions with Similar Denominators All Operations with Proper and Improper Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Similar Denominators and No Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Similar Denominators and All Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Similar Denominators and Some Simplifying (Printable Only)
  • All Operations with Proper and Improper Fractions with Unlike Denominators All Operations with Proper and Improper Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Proper and Improper Fractions with Unlike Denominators and No Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Unlike Denominators and All Simplifying (Printable Only) All Operations with Proper and Improper Fractions with Unlike Denominators and Some Simplifying (Printable Only)
  • All Operations with Two Mixed Fractions with Equal Denominators All Operations with Two Mixed Fractions with Equal Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Equal Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Equal Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Equal Denominators and No Simplifying (Printable Only) All Operations with Two Mixed Fractions with Equal Denominators and All Simplifying (Printable Only) All Operations with Two Mixed Fractions with Equal Denominators and Some Simplifying (Printable Only)
  • All Operations with Two Mixed Fractions with Similar Denominators All Operations with Two Mixed Fractions with Similar Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Similar Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Similar Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Similar Denominators and No Simplifying (Printable Only) All Operations with Two Mixed Fractions with Similar Denominators and All Simplifying (Printable Only) All Operations with Two Mixed Fractions with Similar Denominators and Some Simplifying (Printable Only)
  • All Operations with Two Mixed Fractions with Unlike Denominators All Operations with Two Mixed Fractions with Unlike Denominators and No Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Unlike Denominators and All Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Unlike Denominators and Some Simplifying (Fillable, Savable, Printable) ✎ All Operations with Two Mixed Fractions with Unlike Denominators and No Simplifying (Printable Only) All Operations with Two Mixed Fractions with Unlike Denominators and All Simplifying (Printable Only) All Operations with Two Mixed Fractions with Unlike Denominators and Some Simplifying (Printable Only)
  • All Operations with 3 Fractions All Operations with Three Fractions Including Some Improper Fractions All Operations with Three Fractions Including Some Negative and Some Improper Fractions

Operations with Negative Fractions Worksheets

fractions homework year 7

Although some of these worksheets are single operations, it should be helpful to have all of these in the same location. There are some special considerations when completing operations with negative fractions. It is usually very helpful to change any mixed numbers to an improper fraction before proceeding. It is important to pay attention to the signs and know the rules for multiplying positives and negatives (++ = +, +- = -, -+ = - and -- = +).

  • Adding with Negative Fractions Adding Negative Proper Fractions with Unlike Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Proper Fractions with Unlike Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Mixed Fractions with Unlike Denominators Up to Sixths, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Mixed Fractions with Unlike Denominators Up to Twelfths, Proper Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Adding Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Adding Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Adding Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Adding Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)
  • Subtracting with Negative Fractions Subtracting Negative Proper Fractions with Unlike Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Proper Fractions with Unlike Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Mixed Fractions with Unlike Denominators Up to Sixths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Mixed Fractions with Unlike Denominators Up to Twelfths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Subtracting Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Subtracting Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Subtracting Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Subtracting Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)
  • Multiplying with Negative Fractions Multiplying Negative Proper Fractions with Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Proper Fractions with Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Mixed Fractions with Denominators Up to Sixths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Mixed Fractions with Denominators Up to Twelfths, Proper Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Multiplying Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Multiplying Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Multiplying Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Multiplying Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)
  • Dividing with Negative Fractions Dividing Negative Proper Fractions with Denominators Up to Sixths, Mixed Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Proper Fractions with Denominators Up to Twelfths, Mixed Fractions Results and Some Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Mixed Fractions with Denominators Up to Twelfths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Mixed Fractions with Denominators Up to Twelfths, Mixed Fractions Results and No Simplifying (Fillable, Savable, Printable) ✎ Dividing Negative Proper Fractions with Denominators Up to Sixths, Proper Fraction Results and Some Simplifying (Printable Only) Dividing Negative Proper Fractions with Denominators Up to Twelfths, Proper Fraction Results and Some Simplifying (Printable Only) Dividing Negative Mixed Fractions with Denominators Up to Sixths and Some Simplifying (Printable Only) Dividing Negative Mixed Fractions with Denominators Up to Twelfths and Some Simplifying (Printable Only)

Order of Operations with Fractions Worksheets

fractions homework year 7

The order of operations worksheets in this section actually reside on the Order of Operations page, but they are included here for your convenience.

  • Order of Operations with Fractions 2-Step Order of Operations with Fractions 3-Step Order of Operations with Fractions 4-Step Order of Operations with Fractions 5-Step Order of Operations with Fractions 6-Step Order of Operations with Fractions
  • Order of Operations with Fractions (No Exponents) 2-Step Order of Operations with Fractions (No Exponents) 3-Step Order of Operations with Fractions (No Exponents) 4-Step Order of Operations with Fractions (No Exponents) 5-Step Order of Operations with Fractions (No Exponents) 6-Step Order of Operations with Fractions (No Exponents)
  • Order of Operations with Positive and Negative Fractions 2-Step Order of Operations with Positive & Negative Fractions 3-Step Order of Operations with Positive & Negative Fractions 4-Step Order of Operations with Positive & Negative Fractions 5-Step Order of Operations with Positive & Negative Fractions 6-Step Order of Operations with Positive & Negative Fractions

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Free Printable Fractions Worksheets for 7th Year

Fractions made simple! Discover a vast collection of free printable math fractions worksheets tailored for Year 7 students. Enhance your teaching experience and help your students master this essential skill with Quizizz's resources.

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Recommended Topics for you

  • Fraction Models
  • Equivalent Fractions
  • Comparing Fractions
  • Mixed Numbers and Improper Fractions
  • Adding and Subtracting Fractions
  • Multiplying and Dividing Fractions

FRACTIONS CHALLENGE - Printable Fractions Worksheets Year 7 - Quizizz

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Explore printable Fractions worksheets for 7th Year

Fractions worksheets for Year 7 are an essential tool for teachers to help their students master the concept of fractions in mathematics. These worksheets provide a variety of problems that cover different aspects of fractions, such as addition, subtraction, multiplication, and division. Teachers can use these worksheets to supplement their lesson plans and provide additional practice for students who may be struggling with the topic. The worksheets are designed to be engaging and challenging, ensuring that students are able to develop a strong foundation in fractions. By incorporating these worksheets into their teaching strategies, teachers can ensure that their Year 7 students have a thorough understanding of fractions and are well-prepared for more advanced math concepts.

Quizizz is an excellent resource for teachers looking to incorporate interactive and engaging activities into their lesson plans, including fractions worksheets for Year 7. This platform offers a wide range of quizzes and games that can be used to reinforce math concepts, such as fractions, decimals, and percentages. Teachers can easily create their own quizzes or choose from a vast library of pre-made quizzes that align with their curriculum. In addition to quizzes, Quizizz also offers various other resources, such as flashcards, interactive lessons, and collaborative activities, which can help students develop a deeper understanding of math concepts. By utilizing Quizizz in their classrooms, teachers can provide a fun and interactive learning experience for their Year 7 students, ensuring they excel in math and build a strong foundation for future learning.

Fraction Worksheets

Conversion :: Addition :: Subtraction :: Multiplication :: Division

Conversions

Fractions - addition, fractions - subtraction, fractions - multiplication, fractions - division.

Fractions Worksheets Grade 7

Fractions worksheets 7th grade can be used to give students a better understanding of how to solve questions involving fractions numbers. These grade 7 math worksheets incorporate problems based on the application of arithmetic operators on fractions, word problems, and other questions associated with the concept of fractions.

Benefits of 7th Grade Fractions Worksheets

Fractions can sometimes be a confusing topic for young minds. To ensure that students have crystal clear concepts, they can solve the problems available in the fractions worksheets 7th grade. The well-curated questions are organized in an increasing level of difficulty and give students the flexibility to work at their own pace.

Printable PDFs for Grade 7 Fractions Worksheets

The 7th grade fractions worksheets is interactive, easy to use, and has several visual simulations that help students in assimilating the topic in a more effective manner. This worksheet is also available in PDF format that is free to download

  • Math 7th Grade Fractions Worksheet
  • 7th Grade Fractions Math Worksheet
  • Seventh Grade Fractions Worksheet
  • Grade 7 Math Fractions Worksheet

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fractions homework year 7

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  • Year 7 Maths Worksheets

Year 7 maths worksheets – 72 free, editable printables

Peter Mattock

Editable Word docs

Hand out these weekly Year 7 maths worksheets as homework or use them in the classroom to help students practise vital maths skills.

There are six booklets in total – two for each term.

Term one contains 14 worksheets. There are ten worksheets in term two. Term three contains 12 worksheets. Each worksheet features 20 questions. That means there’s enough content here to fill a full 36 weeks of homework twice over – there are over 1,000 questions in total!

Other year groups

Check out similar worksheet packs for Years 8 , 9 and GCSE maths . You can also download 100+ problem-solving questions in our  KS3 maths worksheets pack  from White Rose Maths, plus we have Key Stage 3 maths worksheets for the whole curriculum.

Year 7 maths worksheets

Term 1 – scheme 1 and 2.

  • Number patterns
  • Order of operations
  • Factors & primes
  • Expressions & formulae
  • Simplifying
  • Substituting
  • Times tables

Term 2 – scheme 1 and 2

  • Multiples and factors
  • Area and perimeter
  • Probability
  • Multiplying by 10, 100, 1000
  • Multiplication
  • Decimal calculations
  • Function machines
  • Equivalent fractions
  • Fractions of a quantity
  • Adding and subtracting fractions
  • Multiplying and dividing fractions

Term 3 – scheme 1

  • Properties of integers
  • Measures, perimeter and area
  • Calculations with whole numbers
  • Place value and rounding
  • Function machines and equations
  • Bar charts and pictograms
  • Angles calculations
  • Fraction, decimal, percentage
  • Percentage calculations

Term 3 – scheme 2

  • Multiplication & division
  • Place value & rounding
  • Function machines & equations
  • Reflections & rotations
  • Translations & enlargements
  • Visualising 3D shapes

Peter Mattock is an assistant head and author of Visible Maths . Contact Peter to request answers for these worksheets.

Year 7 maths worksheets

Similar resources

  • Multiplying and dividing fractions – PowerPoint for KS3 maths
  • HCF LCM worksheet – Free KS3 maths worksheet
  • HCF and LCM questions – GCSE maths 9-1 exam practice
  • Factorising quadratic equations – Bingo game for KS3/4 game
  • Solving simultaneous equations – Fun McDonald’s PowerPoint

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Year 7 - White Rose Maths

1 Understand Representations Of Fractions [pdf 903KB]
2 Convert Between Mixed Numbers And Fractions [pdf 937KB]
3 Add And Subtract Unit Fractions With The Same Denominator [pdf 894KB]
4 Add And Subtract Fractions With The Same Denominator [pdf 918KB]
5 Add And Subtract Fractions From Integers Expressing The Answer As A Single Fraction [pdf 945KB]
Answers 1 [pdf 1MB]
Answers 2 [pdf 1MB]
Answers 3 [pdf 1MB]
Answers 4 [pdf 1MB]
Answers 5 [pdf 1MB]
6 Understand And Use Equivalent Fractions [pdf 823KB]
7 Add And Subtract Fractions Where Denominators Share A Simple Common Multiple [pdf 893KB]
8 Add And Subtract Fractions With Any Denominator [pdf 812KB]
9 Add And Subtract Improper Fractions And Mixed Numbers [pdf 833KB]
10 Using Fraction In Algebraic Contexts [pdf 992KB]
Answers 6 [pdf 1MB]
Answers 7 [pdf 1MB]
Answers 8 [pdf 1MB]
Answers 9 [pdf 1MB]
Answers 10 [pdf 876KB]
11 Use Equivalence To Add And Subtract Decimals And Fractions [pdf 911KB]
12 Add And Subtract Simple Algebraic Fractions [pdf 906KB]
13 Understand And Use The Sum Of Angles At A Point [pdf 1MB]
14 Understand And Use The Sum Of Angles On A Straight Line [pdf 1MB]
15 Understand And Use The Equality Of Vertically Opposite Angles [pdf 1MB]
Answers 11 [pdf 1MB]
Answers 12 [pdf 1MB]
Answers 13 [pdf 1MB]
Answers 14 [pdf 1MB]
Answers 15 [pdf 1MB]
16 Know And Apply The Sum Of Angles In A Triangle [pdf 1MB]
17 Know And Apply The Sum Of Angles In A Quadrilateral [pdf 1MB]
18 Solve Angle Problems Using Properties Of Triangles And Quadrilaterals [pdf 1MB]
Answers 16 [pdf 1MB]
Answers 17 [pdf 1MB]
Answers 18 [pdf 1MB]

Year 7 - Maths 

7N1 [pdf 2MB]
7N2 [pdf 2MB]
7N3 [pdf 2MB]
7N4 [pdf 3MB]
7N1 Answers [pdf 86KB]
7N2 Answers [pdf 51KB]
7N3 Answers [pdf 51KB]
7N4 Answers [pdf 45KB]

OUP - Home Learning Packs - KS3

KS3 Home Learning Pack 1 [pdf 50MB]
KS3 Home Learning Pack 2 [pdf 559KB]
KS3 Home Learning Pack 3 [pdf 6MB]

Year 7 - Maths

Year 7 Investigation - Four Fours (1) [pdf 115KB]
Maths 7N1 [pdf 4MB]
Maths 7N2 [pdf 4MB]
Maths 7N3 [pdf 4MB]
Maths 7N4 [pdf 4MB]
Maths 7N5 [pdf 6MB]

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 is a number, written in two parts, separated by a line. Fractions can be written 

The number   the line is called the  The number   the line is called the  .

The   shows how many equal parts the object or item has been divided into.
The  shows how many of these parts have been selected.

For the circle shown, the shaded part is shown by the fraction ⁄

 shows the number of shaded parts: 
 shows the number of  parts the circle has been divided into:

Think of the fraction saying  one  part out of  four  parts.

More Examples

Some word examples of Fractions

If a pizza is cut into ten pieces and I eat three of them. The fraction of the pizza that I eat is 3/10

The fraction of students who are girls is 263/500.
If I spend $29 of my wages of $120 on food. The fraction of my spending on food is 29/120

Equivalent Fractions

If both the numerator and denominator of a fraction are multiplied by the  SAME  number, the fraction stays the same.

⁄ ×  ⁄
⁄ ×  ⁄
⁄ ×  ⁄

This property allows us to  SIMPLIFY  fractions, also known as  CANCELLING .

We normally give fractions in their  SIMPLEST  form.

The table below shows some  equivalent  fractions:

                ⁄ = 1
      ⁄ = 1
    ⁄ = 1
                      ⁄ = 1
            ⁄ = 1
        ⁄ = 1

These fractions can also be put on a number line:

Mixed Numbers

A  mixed number  is a number made up of a whole number and a fraction:

A mixed number can also be shown as an  improper fraction.

This is because 3 whole ones are equal to 9 thirds (3 × 3) plus the two thirds equals  eleven thirds .

Changing Mixed Numbers to Improper Fractions:

Changing Improper Fractions to Mixed Numbers:

Finding a Fraction of a Number

To find a fraction of a number, divide the number by the denominator (bottom number) of the fraction and then multiply the number by the numerator of the fraction (top number).

e.g. To find 3 ⁄ 4  of 80.

First find 1 ⁄ 4  of 80 by dividing by 4 = 80 ÷ 4 =  20

Now find 3 ⁄ 4  of 80 by multiplying by 3 =  20  × 3 = 60

So 3 ⁄ 4  of 80 is 60

The coach of my soccer team buys 20 pieces of fish and some chips for the team. My friends and I eat ⁄  of the number of fish.

How many fish do my friends and I eat?

Find   fifth of the number of fish:

20 × ⁄ = 4

Now find   fifths of the number of fish:

Number of fish = 4 × 3 = 12

 

At a World Cup rugby game, ⁄  of the crowd support the home team. If there are 45 000 people at the game, how many support the home team?

45000 ×  ⁄ = 7500

Now find   sixths of the number of home supporters.

Number of home supporters = 7500 x 5 = 37500

Operations on Fractions

Later you will need to be able to add, subtract, multiply and divide fractions. You can discover how to do this and see some examples in the extension  Topic 47 .

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KS3 Fractions (MEP – Year 7 – Unit 10)

KS3 Fractions (MEP – Year 7 – Unit 10)

Subject: Mathematics

Age range: 11-14

Resource type: Lesson (complete)

CIMT

Last updated

28 October 2014

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Multiplying Fractions Worksheets

Welcome to our Multiplying Fractions Worksheets page. Here you will find a range of free printable sheets and support to help your child learn to multiply fractions by integers or other fractions.

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Multiplying fractions calculator.

  • Multiplying Fractions Support
  • Multiplying Mixed Fractions
  • More related Math resources

Multiplying Fractions Online Quiz

We have a calculator to help you to multiply two fractions together.

You can multiply mixed numbers or multiply a fraction by an integer too.

All the working out is shown step-by-step so you can see how it is worked out.

Multiply Fractions Calculator image

  • Multiply Fractions Calculator

How to Multiply Fractions Support

This support page will help you find out all about how to multiply fractions together.

There are several worked examples and a printable support sheet.

Formula for multiplying two fractions

\[{a \over b} \times {c \over d} = {ac \over bd} \]

  • How do you Multiply Fractions Support

About our Multiplying Fractions Worksheets

Here you will find a selection of Fraction worksheets designed to help your child understand how to multiply a fraction by an integer or another fraction.

The sheets are carefully graded so that the easiest sheets come first, and the most difficult sheet is the last one.

The sheets have been split into two sections:

  • The first section contains sheets multiplying fractions by integers
  • The second section contains sheets multiplying fractions by other fractions.

Before your child tackles multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form.

Using these sheets will help your child to:

  • multiply a fraction by a whole number;
  • multiply 2 fractions together;
  • apply their understanding of simplest form;

Want to test yourself to see how well you have understood this skill?

  • Try our NEW quick quiz at the bottom of this page.

Multiplying Fractions by an Integer Worksheets

  • Multiply fractions by integer 1
  • Sheet 1 Answers
  • PDF version
  • Multiply fractions by integer 2
  • Sheet 2 Answers
  • Multiply Fractions 1
  • Multiply Fractions 2
  • Multiplying Fractions 3
  • Sheet 3 Answers
  • Multiply Fractions 4
  • Sheet 4 Answers
  • Multiply Fractions 5
  • Sheet 5 Answers

Multiplying Fractions Walkthrough Video

This short video walkthrough shows several problems from our Multiply Fractions Worksheet 2 being solved and has been produced by the West Explains Best math channel.

If you would like some support in solving the problems on these sheets, check out the video!

More Recommended Math Resources

Take a look at some more of our worksheets and resources similar to these.

Multiplying and Dividing Fractions Support Pages

Take a look at some of our other multiplying and dividing fractions support pages if you need more help with multiplying or dividing fractions.

how to multiply mixed fractions image

  • How to Multiply Mixed Fractions support page
  • How to Divide Fractions
  • How to Divide Mixed Numbers

Multiplying and Dividing Fractions Worksheets

We have more worksheets to help your child learn and practice multiplying and dividing fractions.

All the sheets are carefully graded with different levels of support.

Take a look at our full range below.

  • Multiplying Mixed Fractions Worksheets
  • Dividing Fractions Worksheets
  • Dividing Fractions by Whole Numbers
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How to Convert Improper Fractions

This support page shows how to convert improper fractions to mixed numbers, and how to convert mixed numbers to improper fractions.

You will also find printable support sheets, and several practice math worksheets for this learning fractions skill.

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  • Convert Improper Fractions Support

Simplifying Fractions

This is also sometimes called reducing fractions to their simplest form.

This involves dividing both the numerator and denominator by a common factor to reduce the fraction to the equivalent fraction with the smallest possible numerator and denominator.

The printable fraction page below contains more support, examples and practice about simplifying fractions.

  • How to Simplify Fractions support page
  • Simplify Fractions Practice Zone

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fractions homework year 7

Visual maths worksheets, each maths worksheet is differentiated and visual.

Year 7 Maths Worksheets

Maths Worksheets / Year 7 Maths Worksheets

A superb range of maths worksheets for secondary school children in year 7 (aged 11-12). Cazoom Maths is a trusted provider of maths worksheets for secondary school children, and this set of maths worksheets is ideal for students in the first year of high school. Our mathematics resources are perfect for use in the classroom or for additional home learning, and are excellent Year 7 maths practice material. Our maths worksheets are used by over 30,000 teachers, parents and schools around the world and we are a Times Educational Supplement recommended resource for helping key stage 3 and key stage 4 students learn mathematics.

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Maths worksheets for year 7 students.

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See below the list of topics covered. All our maths worksheets can be accessed here .

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Fraction Worksheets

Fraction worksheets include hundreds of printable handouts with exclusive pages in each sub topic. After the sub topics, you can find plenty of worksheets that include complete review of fractions.

List of Fraction Worksheets

Halves, Thirds, and Fourths

Visual Fraction Models

Identifying Fractions

Types of Fractions

Simplifying Fraction

Converting between Improper Fractions and Mixed Numbers

Equivalent Fraction

Fractions on a Number Line

Adding Fractions

Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Fraction Word Problems

Comparing Fractions

Comparing Mixed Numbers

Ordering Fractions

Estimating Fractions

Rounding Fractions

Explore the Fraction Worksheets in Detail

Open the door to understanding fractions for the early learners in kindergarten through grade 3 with our halves, thirds, and fourths worksheets! Kid-friendly illustrations, engaging exercises, and hands-on activities allow children soak up everything about halves, thirds, and quarters.

Help 3rd grade and 4th grade children understand fractions as equal parts of a whole using shapes, real-life objects, pizza slices, and lots of visual fraction models! They identify proper fractions, unit fractions, mixed numbers, and do a lot more.

Want the child to be adept at identifying fractions in a jiffy? Go great guns at finding numerators and denominators, completing the table by forming fractions, and more with these dynamic pdf worksheets.

What type of fraction is 1/4? Yes, it’s a unit fraction. Identify a proper fraction, improper fraction, mixed number, unit fraction, like fractions, unlike fractions like a pro with these printable types of fractions worksheets.

Reduce the proper fraction, improper fraction and mixed numbers to its lowest term.

Which is easier to interpret, 1 1/4 or 5/4? Some students might find working with mixed numbers harder than improper fractions, for others might find improper fractions easier. Prep up converting between the two with these pdf worksheets!

Interactive worksheets that use fraction strips, pie model, visual graphics and more.

These fraction worksheets on number line help kids to visually understand the fractions.

Add like, unlike, proper, improper and mixed fractions. Special fractions such as unit and reciprocal fraction included.

Free subtraction worksheets include all types of fractions build with various skill levels.

Discern multiplying fractions by whole numbers using repeated addition, arrays, number line models, equal groups, and area models; progress multiplying two and three fractions, multiplying fractions by mixed numbers, etc.; solve a series of fraction multiplication word problems.

Plug into our printable dividing fractions worksheets and practice performing division of fractions by whole numbers, fractions by fractions, mixed number by fractions, and more!

Learn how fraction applied and used in real-life by practicing these word problems.

Explore our fraction comparison worksheets to effortlessly compare two fractions with like and unlike denominators. With a wide-range of models and exercises, these pdfs are a great practice tool for children.

Which is greater, 1 2/5 or 2 5/6? Compare such mixed numbers instantly and flawlessly with a devout practice of our mixed number comparison worksheets!

Arrange the fractions in either increasing or decreasing order.

Round the fractions to the nearest whole number or to the nearest half. Number lines are also included.

Estimate the sum, difference, product and quotient involving fractions.

Converting between Fractions and Decimals Worksheets

Support the child’s knowledge involving conversion between fractions and decimals by incorporating a host of engaging exercises and up their forte in leaps and bounds!

Convert between Fractions, Decimals, and Percents Worksheets

Help the learners make a major breakthrough in performing the conversion between percentages, decimals, and fractions. The vast assemblage of exercises focuses on improving while testing their grasp on the topic.

Sample Worksheets

Adding Fractions

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Fractions Worksheets

Fraction worksheets for grades 1 through 6.

Our fraction worksheets start with the introduction of the concepts of " equal parts ", "parts of a whole" and "fractions of a group or set"; and proceed to operations on fractions and mixed numbers.  

Choose your grade / topic:

Grade 1 fraction worksheets, grade 2 fraction worksheets, grade 3 fraction worksheets.

Fraction worksheets

Fractions to decimals

Fraction addition and subtraction

Fraction multiplication and division

Converting fractions, equivalent fractions, simplifying fractions

Fraction to / from decimals 

Fraction addition and subtraction 

Fraction multiplication and division worksheets

Fraction to / from decimals

Topics include:

  • Identifying "equal parts"
  • Dividing shapes into "equal parts"
  • Parts of a whole
  • Fractions in words
  • Coloring shapes to make fractions
  • Writing fractions
  • Fractions of a group or set
  • Word problems: write the fraction from the story
  • Equal parts
  • Numerators and denominators of a fraction
  • Writing fractions from a numerator and denominator
  • Reading fractions and matching to their words
  • Writing fractions in words
  • Identifying common fractions (matching, coloring, etc)
  • Fractions as part of a set or group (identifying, writing, coloring, etc)
  • Using fractions to describe a set
  • Comparing fractions with pie charts (parts of whole, same denominator)
  • Comparing fractions with pie charts (same numerator, different denominators)
  • Comparing fractions with pictures (parts of sets)
  • Comparing fractions with block diagrams
  • Understanding fractions word problems
  • Writing and comparing fractions word problems
  • Identifying fractions
  • Fractional part of a set
  • Identifying equivalent fractions
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  • 3 Equivalent fractions
  • Comparing fractions with pie charts (same denominator)
  • Comparing proper fractions with pie charts
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  • Compare mixed numbers with pie charts
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  • Simplifying fractions (proper, improper)
  • Adding like fractions
  • Adding mixed numbers
  • Completing whole numbers
  • Subtracting like fractions
  • Subtracting a fraction from a whole number or mixed number
  • Subtracting mixed numbers
  • Converting fractions to / from mixed numbers
  • Converting mixed numbers and fractions to / from decimals
  • Fractions word problems

Grade 4 fraction worksheets

  • Adding like fractions (denominators 2-12)
  • Adding like fractions (all denominators)
  • Adding fractions and mixed numbers (like denominators)
  • Subtracting like fractions (denominators 2-12)
  • Subtracting fractions from whole numbers, mixed numbers
  • Subtracting mixed numbers from mixed numbers or whole numbers
  • Comparing improper fractions and mixed numbers with pie charts
  • Comparing proper and improper fractions
  • Ordering 3 fractions
  • Identifying equivalent fractions (pie charts)
  • Writing equivalent fractions (pie charts)
  • Equivalent fractions with missing numerators or denominators

Grade 4 fractions to decimals worksheets

  • Convert decimals to fractions (tenths, hundredths)
  • Convert decimals to mixed numbers (tenths, hundredths)
  • Convert fractions to decimals (denominator of 10 or 100)
  • Convert mixed numbers to decimals (denominator of 10 or 100)

Grade 5 addition and subtraction of fractions worksheets

  • Adding like fractions (denominators 2-25)
  • Adding mixed numbers and / or fractions (like denominators)
  • Adding unlike fractions & mixed numbers
  • Subtracting fractions from whole numbers and mixed numbers (same denominators)
  • Subtracting mixed numbers with missing subtrahend or minuend)
  • Subtracting unlike fractions
  • Subtracting mixed numbers (unlike denominators)
  • Word problems on adding and subtracting fractions

Grade 5 fraction multiplication and division worksheets

  • Multiply fractions by whole numbers
  • Multiply fractions by fractions
  • Multiply improper fractions
  • Multiply fractions by mixed numbers
  • Multiply mixed numbers by mixed numbers
  • Missing factor questions
  • Divide whole numbers by fractions (answers are whole numbers)
  • Divide a fraction by a whole number and vice versa
  • Divide mixed numbers by fractions
  • Divide fractions by fractions
  • Mixed numbers divided by mixed numbers
  • Word problems on multiplying and dividing fractions
  • Mixed operations with fractions word problems

Grade 5 converting, simplifying & equivalent fractions

  • Converting improper fractions to / from mixed numbers
  • Simplifying proper fractions
  • Simplifying proper and improper fractions
  • Equivalent fractions (2 fractions)
  • Equivalent fractions (3 fractions)

Grade 5 fraction to / from decimals worksheets

  • Convert decimals to fractions (tenths, hundredths), no simplification
  • Convert decimals to fractions (tenths, hundredths), with simplification
  • Convert decimals to mixed numbers
  • Convert fractions to decimals (denominators of 10 or 100)
  • Convert mixed numbers to decimals (denominators of 10 or 100)
  • Convert mixed numbers to decimals (denominators of 10, 100 or 1000)
  • Convert fractions to decimals (common denominators of 2, 4, 5, ...)
  • Convert mixed numbers to decimals (common denominators of 2, 4, 5, ...)
  • Convert fractions to decimals, some with repeating decimals

Grade 6 addition and subtraction of fractions worksheets

  • Adding unlike fractions
  • Adding  fractions and mixed numbers
  • Adding mixed numbers (unlike denominators)
  • Subtract unlike fractions
  • Subtract mixed numbers (unlike denominators)

Grade 6 fraction multiplication and division worksheets

  • Fractions multiplied by whole numbers
  • Fractions multiplied by fractions
  • Mixed numbers multiplied by fractions
  • Mixed numbers multiplied by mixed numbers
  • Whole numbers divided by fractions
  • Fractions divided by fractions
  • Mixed numbers divided by mixed nuymbers
  • Mixed multiplication or division practice

Grade 6 converting, simplifying and equivalent fractions worksheets

  • Convert improper fractions to / from mixed numbers
  • Simplify proper fractions
  • Simplify proper and improper fractions
  • Equivalent fractions (4 fractions)

Grade 6 fraction to / from decimals worksheets

  • Convert decimals to fractions, with simplification
  • Convert decimals to mixed numbers, with simplification
  • Convert fractions to decimals (denominators are 10 or 100)
  • Convert fractions to decimals (various denominators)
  • Convert mixed numbers to decimals (various denominators)

Related topics

Decimals worksheets

Word problem worksheets

fractions homework year 7

Sample Fractions Worksheet

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COMMENTS

  1. Part 1: Fractions

    Expressing mixed fractions as improper fractions. To do this, we: Multiply the whole number by the denominator of the fraction. Add this number to the numerator. Write the new number over the original denominator. For example. 32 5 = 3 + 2 5 = 3 × 5 + 2 5 = 17 5. 27 8 = 2 + 7 8 = 2 × 8 + 7 8 = 25 7.

  2. Fractions Worksheets

    Cut out the fraction circles and segments of one copy and leave the other copy intact. To add 1/3 + 1/2, for example, place a 1/3 segment and a 1/2 segment into a circle and hold it over various fractions on the intact copy to see what 1/2 + 1/3 is equivalent to. 5/6 or 10/12 should work. Small Fraction Circles.

  3. Free Printable Fractions Worksheets for 7th Year

    Explore printable Fractions worksheets for 7th Year Fractions worksheets for Year 7 are an essential tool for teachers to help their students master the concept of fractions in mathematics. These worksheets provide a variety of problems that cover different aspects of fractions, such as addition, subtraction, multiplication, and division.

  4. Year 7 Fractions Worksheets

    Printable Fraction Worksheets For Kids. We really do have a fractions worksheet for any type of fraction calculation your student will come across. If you need a worksheet for the more basic fractions calculations such as an adding fractions worksheet, or multiplying fractions worksheet to the more advanced mixed and improper fractions ...

  5. Fraction Worksheets

    Worksheet. Example. Fractions (Same Denominator) 1 5 × 2 5. Unit Fractions. 1 3 × 1 9. Easy Proper Fractions. 3 8 × 2 7. Harder Proper Fractions.

  6. Year 7 Fractions Worksheets

    Learn with confidence. start free trial. Cazoom Maths is your best source for printable Year 7 Fractions Worksheets. Students can get the help they need while having fun understanding fractions.

  7. Fractions Worksheets Grade 7

    Printable PDFs for Grade 7 Fractions Worksheets. The 7th grade fractions worksheets is interactive, easy to use, and has several visual simulations that help students in assimilating the topic in a more effective manner. This worksheet is also available in PDF format that is free to download. Math 7th Grade Fractions Worksheet.

  8. 67 Top "Year 7 Fractions" Teaching Resources curated for you.

    Ordering Unlike Fractions Card Game (Stage 7 & 8) 1 review. Explore more than 151 "Year 7 Fractions" resources for teachers, parents and pupils as well as related resources on "Fractions Year 7". Instant access to inspirational lesson plans, schemes of work, assessment, interactive activities, resource packs, PowerPoints, teaching ideas at Twinkl!

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    Circle Graph Template Worksheet 2 reviews. Explore more than 157 "Fractions Year 7" resources for teachers, parents and pupils as well as related resources on "Year 7 Fractions". Check out our interactive series of lesson plans, worksheets, PowerPoints and assessment tools today! All teacher-made, aligned with the Australian Curriculum.

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    Year 7 Australian Curriculum Number and Algebra Content Descriptor Display Posters 1 review. Imposter Maths Board Game 4 reviews. Explore more than 148 "Fractions Year 7" resources for teachers, parents and pupils as well as related resources on "Year 7 Fractions". Find a Scheme of Work. Explore our most popular collections.

  11. Year 7 maths worksheets

    Subjects. Hand out these weekly Year 7 maths worksheets as homework or use them in the classroom to help students practise vital maths skills. There are six booklets in total - two for each term. Term one contains 14 worksheets. There are ten worksheets in term two. Term three contains 12 worksheets. Each worksheet features 20 questions.

  12. Year 7 Fractions, Decimals and Percentages Worksheets

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  13. Year 7

    Year 7 - White Rose Maths. 1 Understand Representations Of Fractions. [pdf 903KB] 2 Convert Between Mixed Numbers And Fractions. [pdf 937KB] 3 Add And Subtract Unit Fractions With The Same Denominator. [pdf 894KB]

  14. Fractions

    To find a fraction of a number, divide the number by the denominator (bottom number) of the fraction and then multiply the number by the numerator of the fraction (top number). e.g. To find 3 ⁄ 4 of 80. First find 1 ⁄ 4 of 80 by dividing by 4 = 80 ÷ 4 = 20. Now find 3 ⁄ 4 of 80 by multiplying by 3 = 20 × 3 = 60.

  15. KS3 Fractions (MEP

    worksheets, activities and lesson plans. The topic of Fractions from the Year 7 book of the Mathematics Enhancement Program. For information about these resources an

  16. Multiplying Fractions Worksheet

    The sheets have been split into two sections: The first section contains sheets multiplying fractions by integers. The second section contains sheets multiplying fractions by other fractions. Before your child tackles multiplying fractions, they should be confident with converting improper fractions to mixed numbers, and also using simplest form.

  17. Year 7 Fractions Worksheet Collection

    Our Year 7 fractions worksheet collection is ideal for making this tricky Maths topic engaging and fun! All teacher-made in line with the Australian Curriculum. ... Converting between Fractions, Decimals & Percentages Homework Activity Pack. 4.9 (31 Reviews) Multiplying and Dividing Decimals Resource Pack. 4.9 (20 Reviews)

  18. KS3 Maths

    Compound Interest. No 14, 15 & 16. Page 31 Q to 10. 12. Reverse Percentages. No 17, 18 & 19 - 37 mins. Page 34 Q1 to 10. Your #1 tool for mastering KS3 Maths. Say goodbye to boring revision, we've rounded up model examplar answers, worksheets, videos and all kinds of resources to acheiving Grade 5 in Year 8 and moving onto GCSE maths in Year 9.

  19. Year 7 Maths Worksheets

    A superb range of maths worksheets for secondary school children in year 7 (aged 11-12). Cazoom Maths is a trusted provider of maths worksheets for secondary school children, and this set of maths worksheets is ideal for students in the first year of high school. Our mathematics resources are perfect for use in the classroom or for additional ...

  20. Fraction Worksheets

    What type of fraction is 1/4? Yes, it's a unit fraction. Identify a proper fraction, improper fraction, mixed number, unit fraction, like fractions, unlike fractions like a pro with these printable types of fractions worksheets. Simplifying Fraction. Reduce the proper fraction, improper fraction and mixed numbers to its lowest term.

  21. Fractions worksheets for grades 1-6

    Grade 4: Fraction worksheets. Fractions to decimals. Grade 5: Fraction addition and subtraction. Fraction multiplication and division. Converting fractions, equivalent fractions, simplifying fractions. Fraction to / from decimals. Grade 6:

  22. 7th

    Master the skills of seventh grade math with Khan Academy's interactive lessons on proportions, algebra, negative numbers, and more.