The smart way to improve grades

Comprehensive & curriculum aligned

Affordable pricing from £10/month

Compare Fractions

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

'Compare Fractions' worksheet

Key stage:  KS 2

Curriculum topic:  Number: Fractions, Decimals and Percentages

Curriculum subtopic:  Compare and Order Fractions

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

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 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

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 top and bottom of 12 eighths by 3:

12  =  36
8 24

 

We multiply top and bottom of 11 sixths by 4:

11  =  44
6 24

 

Clearly

44

 > 

36
24 24

 

So

11 is bigger
6

Which is bigger?

 

4 or 2
9 3

 

4/9

2/3

both the same

Which is bigger?

 

3 or 2
4 3

 

3/4

2/3

both the same

Which is bigger?

 

3 or 4
4 5

 

3/4

4/5

both the same

Which is bigger?

 

5 or 3
6 4

 

5/6

3/4

both the same

Which is bigger?

 

6 or 8
9 12

 

6/9

8/12

both the same

Which is bigger?

 

3 or 4
5 6

 

3/5

4/6

both the same

Which is bigger?

 

3 or 17
4 20

 

3/4

17/20

both the same

Which is bigger?

 

3 or 4
8 12

 

3/8

4/12

both the same

Which is bigger?

 

6 or 9
8 12

 

6/8

9/12

both the same

Which is bigger?

 

7 or 8
12 15

 

7/12

8/15

both the same

  • Question 1

Which is bigger?

 

4 or 2
9 3

 

CORRECT ANSWER
2/3
EDDIE SAYS
The lowest common multiple of 9 and 3 is 9.
2/3 = 6/9
  • Question 2

Which is bigger?

 

3 or 2
4 3

 

CORRECT ANSWER
3/4
EDDIE SAYS
The lowest common multiple of 4 and 3 is 12.
3/4 = 9/12
2/3 = 8/12
  • Question 3

Which is bigger?

 

3 or 4
4 5

 

CORRECT ANSWER
4/5
EDDIE SAYS
The lowest common multiple of 4 and 5 is 20.
3/4 = 15/20
4/5 = 16/20
  • Question 4

Which is bigger?

 

5 or 3
6 4

 

CORRECT ANSWER
5/6
EDDIE SAYS
The lowest common multiple of 6 and 4 is 12.
5/6 = 10/12
3/4 = 9/12
  • Question 5

Which is bigger?

 

6 or 8
9 12

 

CORRECT ANSWER
both the same
EDDIE SAYS
The lowest common multiple of 9 and 12 is 36.
6/9 = 24/36
8/12 = 24/36
  • Question 6

Which is bigger?

 

3 or 4
5 6

 

CORRECT ANSWER
4/6
EDDIE SAYS
The lowest common multiple of 5 and 6 is 30.
3/5 = 18/30
4/6 = 20/30
  • Question 7

Which is bigger?

 

3 or 17
4 20

 

CORRECT ANSWER
17/20
EDDIE SAYS
The lowest common multiple of 4 and 20 is 20.
3/4 = 15/20
  • Question 8

Which is bigger?

 

3 or 4
8 12

 

CORRECT ANSWER
3/8
EDDIE SAYS
The lowest common multiple of 8 and 12 is 24.
3/8 = 9/24
4/12 = 8/24
  • Question 9

Which is bigger?

 

6 or 9
8 12

 

CORRECT ANSWER
both the same
EDDIE SAYS
The lowest common multiple of 8 and 12 is 24.
6/8 = 18/24
9/12 = 18/24
  • Question 10

Which is bigger?

 

7 or 8
12 15

 

CORRECT ANSWER
7/12
EDDIE SAYS
The lowest common multiple of 12 and 15 is 60.
7/12 = 35/60
8/15 = 32/60
---- OR ----

Sign up for a £1 trial so you can track and measure your child's progress on this activity.

What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Start your £1 trial

Start your trial for £1