 # Compare Fractions

In this worksheet, students use common denominators to compare fractions. Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Fractions

Difficulty level:   ### 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

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

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

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

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

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

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

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

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

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

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

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

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