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Compare the Size of Two Fractions

In this worksheet, students will decide which of two fractions is larger by using common denominators to compare their sizes.

'Compare the Size of Two Fractions' worksheet

Key stage:  KS 3

Year:  Year 8 Maths worksheets

Curriculum topic:   Number

Curriculum subtopic:   Understand Order for All Numbers

Difficulty level:  

Worksheet Overview

In this activity, we will decide which of two fractions is larger and then use the < or > symbol.



Without a calculator, we need to decide which is larger.


6/10    or    5/9


 We need to find the lowest common multiple of 10 and 9 to create common denominators and change both fractions into 90ths 


Starting with 6/10, we multiply 10 by 9 to get 90 as the denominator.

We have to do the same thing to the numerator, so we multiply 6 by 9 too, to get 54.


So, 6/10 has now become 54/90


Now to 5/9

We multiply the denominator of 9 by 10 to get 90.

We need to do the same to the numerator of 5, so 5 x 10 gives us 50.


So, 5/9 has become 50/90 


We now have 54/90 and 50/90


54/90  > 50/90, so 6/10 >  5/9


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