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 |
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:
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:
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
|
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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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.
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.
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
\[{a \over b} \times {c \over d} = {ac \over bd} \]
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:
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:
Want to test yourself to see how well you have understood this skill?
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!
Take a look at some more of our worksheets and resources similar to these.
Take a look at some of our other multiplying and dividing fractions support pages if you need more help with multiplying or dividing fractions.
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.
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.
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.
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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.
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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.
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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.
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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.
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.
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.
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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.
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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]
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.
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
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.
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)
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.
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 ...
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.
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:
Master the skills of seventh grade math with Khan Academy's interactive lessons on proportions, algebra, negative numbers, and more.