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Compare Fractions by Finding the Common Denominator

In this worksheet, students will use common denominators to compare fractions.

'Compare Fractions by Finding the Common Denominator' 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, we try to get them to have 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 change both fractions into 18ths.

 

We multiply the numerator and denominator of 7/9 by 2:

 

7 = 14
9 18

 

We multiply the numerator and the denominator of 4/6 by 3:

 

4 = 12
6 18

 

So we now have

 

14  and  12
18 18

 

14  >  12
18 18

 

7  >  4
9 6

 

 

Example

Which is bigger?

 

12  or  11
8 6

 

Answer

The lowest common multiple of 8 and 6 is 24, because 3 × 8 = 24 and 4 × 6 = 24.

We multiply the numerator and the denominator of 12/8 by 3:

 

12  =  36
8 24

 

We multiply the numerator and the denominator of 11/6 by 4:

 

11  =  44
6 24

 

 

44

 > 

36
24 24

 

11 is bigger
6

 

 

Let's move on to the questions now.

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