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Order Fractions

In this worksheet, students use common denominators to place fractions in ascending order of size.

'Order Fractions' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Compare and Order Fractions

Difficulty level:  

Worksheet Overview

Before we compare fractions, they need the same denominators.

We do this by using lowest common multiples.

 

Suppose we wish to compare:

7  and  4
9 6

 

We look for the smallest number that 9 and 6 go into.

This will be 18, so we want to change both fractions into 18ths.

 

We multiply top and bottom of 7 ninths by 2:

7  =  14
9 18

 

We multiply top and bottom of 4 sixths by 3:

4  =  12
6 18

 

So we now have:

14  and  12
18 18

 

Clearly:

14  >  12
18 18

 

So:

7   4
9 6

 

 

Example

Place these fractions in ascending order of size.

5    1    2
8 2 3

 

Answer

The lowest common multiple of 8, 2 and 3 is 24, because 3 × 8 = 24 and 12 × 2 = 24 and 8 × 3 = 24.

We multiply top and bottom of 5 eighths by 3:

5  =  15
8 24

 

We multiply top and bottom of 1 half by 12:

1  =  12
2 24

 

We multiply top and bottom of 2 thirds by 8:

2  =  16
3 24

 

Clearly:

12  <  15  <  16
24 24 24

 

So the ascending order is:

1    5    2
2 8 3

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