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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

QUESTION 1 of 10

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

Place these fractions in ascending order of size.

 

1   1   3
2 4 4

Column A

Column B

1. (smallest)
3/4
2.
1/4
3. (largest)
1/2

Place these fractions in ascending order of size.

 

5   1   3
8 2 4

Column A

Column B

1. (smallest)
5/8
2.
1/2
3. (largest)
3/4

Place these fractions in ascending order of size.

 

5   1   3
6 2 4

Column A

Column B

1. (smallest)
3/4
2.
5/6
3. (largest)
1/2

Place these fractions in ascending order of size.

 

5   5   3
8 6 4

Column A

Column B

1. (smallest)
5/8
2.
3/4
3. (largest)
5/6

Place these fractions in ascending order of size.

 

3   7   1
5 10 2

Column A

Column B

1. (smallest)
3/5
2.
1/2
3. (largest)
7/10

Place these fractions in ascending order of size.

 

5   7   4
6 18 9

Column A

Column B

1. (smallest)
5/6
2.
7/18
3. (largest)
4/9

Place these fractions in ascending order of size.

 

2   3   7
3 4 12

Column A

Column B

1. (smallest)
7/12
2.
3/4
3. (largest)
2/3

Place these fractions in ascending order of size.

 

4   7   9
5 8 10

Column A

Column B

1. (smallest)
7/8
2.
9/10
3. (largest)
4/5

Place these fractions in ascending order of size.

 

5   3   5
6 4 9

Column A

Column B

1. (smallest)
5/9
2.
3/4
3. (largest)
5/6

Place these fractions in ascending order of size.

 

5   4   11
6 5 15

Column A

Column B

1. (smallest)
5/6
2.
11/15
3. (largest)
4/5
  • Question 1

Place these fractions in ascending order of size.

 

1   1   3
2 4 4
CORRECT ANSWER

Column A

Column B

1. (smallest)
1/4
2.
1/2
3. (largest)
3/4
EDDIE SAYS
The lowest common multiple of 2, 4 and 4 is 4.
The fractions change to 2/4, 1/4 and 3/4.
  • Question 2

Place these fractions in ascending order of size.

 

5   1   3
8 2 4
CORRECT ANSWER

Column A

Column B

1. (smallest)
1/2
2.
5/8
3. (largest)
3/4
EDDIE SAYS
The lowest common multiple of 8, 2 and 4 is 8.
The fractions change to 5/8, 4/8 and 6/8.
  • Question 3

Place these fractions in ascending order of size.

 

5   1   3
6 2 4
CORRECT ANSWER

Column A

Column B

1. (smallest)
1/2
2.
3/4
3. (largest)
5/6
EDDIE SAYS
The lowest common multiple of 6, 2 and 4 is 12.
The fractions change to 10/12, 6/12 and 9/12.
  • Question 4

Place these fractions in ascending order of size.

 

5   5   3
8 6 4
CORRECT ANSWER

Column A

Column B

1. (smallest)
5/8
2.
3/4
3. (largest)
5/6
EDDIE SAYS
The lowest common multiple of 8, 6 and 4 is 24.
The fractions change to 15/24, 20/24 and 18/24.
  • Question 5

Place these fractions in ascending order of size.

 

3   7   1
5 10 2
CORRECT ANSWER

Column A

Column B

1. (smallest)
1/2
2.
3/5
3. (largest)
7/10
EDDIE SAYS
The lowest common multiple of 5, 10 and 2 is 10.
The fractions change to 6/10, 7/10 and 5/10.
  • Question 6

Place these fractions in ascending order of size.

 

5   7   4
6 18 9
CORRECT ANSWER

Column A

Column B

1. (smallest)
7/18
2.
4/9
3. (largest)
5/6
EDDIE SAYS
The lowest common multiple of 6, 18 and 9 is 18.
The fractions change to 15/18, 7/18 and 8/18.
  • Question 7

Place these fractions in ascending order of size.

 

2   3   7
3 4 12
CORRECT ANSWER

Column A

Column B

1. (smallest)
7/12
2.
2/3
3. (largest)
3/4
EDDIE SAYS
The lowest common multiple of 3, 4 and 12 is 12.
The fractions change to 8/12, 9/12 and 7/12.
  • Question 8

Place these fractions in ascending order of size.

 

4   7   9
5 8 10
CORRECT ANSWER

Column A

Column B

1. (smallest)
4/5
2.
7/8
3. (largest)
9/10
EDDIE SAYS
The lowest common multiple of 5, 8 and 10 is 40.
The fractions change to 32/40, 35/40 and 36/40.
  • Question 9

Place these fractions in ascending order of size.

 

5   3   5
6 4 9
CORRECT ANSWER

Column A

Column B

1. (smallest)
5/9
2.
3/4
3. (largest)
5/6
EDDIE SAYS
The lowest common multiple of 6, 4 and 9 is 36.
The fractions change to 30/36, 27/36 and 20/36.
  • Question 10

Place these fractions in ascending order of size.

 

5   4   11
6 5 15
CORRECT ANSWER

Column A

Column B

1. (smallest)
11/15
2.
4/5
3. (largest)
5/6
EDDIE SAYS
The lowest common multiple of 6, 5 and 15 is 30.
The fractions change to 25/30, 24/30 and 22/30.
---- OR ----

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