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Compare Fractions with Related Denominators

In this worksheet, students must compare fractions whose denominators are multiples of the same number.

'Compare Fractions with Related Denominators' worksheet

Key stage:  KS 2

Curriculum topic:   Number: Fractions, Decimals and Percentages

Curriculum subtopic:   Order Fractions

Difficulty level:  

Worksheet Overview

QUESTION 1 of 10

In this worksheet, we will learn how to compare fractions whose denominators are all multiples of the same number.

We will not be converting the fractions to decimals, but will use the idea of equivalent fractions.

 

Remember, multiply or divide the top and the bottom of a fraction by the same number to change it to an equivalent fraction.

 

Example

Is the following comparison true or false

 

4 > 7
6 9

 

Answer

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

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

 

We multiply top and bottom of 4 sixths by 3:

 

4 = 12
6 18

 

We multiply top and bottom of 7 ninths by 2:

 

7 = 14
9 18

 

Now

12 < 14
18 18

 

So the statement

4 > 7
6 9


is FALSE.

Is the following comparison true or false?

 

4 > 7
5 10
true

false

Is the following comparison true or false?

 

3 > 7
4 8
true

false

Is the following comparison true or false?

 

2 < 5
3 6
true

false

Is the following comparison true or false?

 

3 < 5
4 6
true

false

Is the following comparison true or false?

 

2 > 1
6 4
true

false

Is the following comparison true or false?

 

2 > 3
6 8
true

false

Is the following comparison true or false?

 

3 < 4
6 9
true

false

Is the following comparison true or false?

 

5 > 8
6 10
true

false

Is the following comparison true or false?

 

11 > 8
15 10
true

false

Is the following comparison true or false?

 

5 < 4
9 6
true

false

  • Question 1

Is the following comparison true or false?

 

4 > 7
5 10
CORRECT ANSWER
true
EDDIE SAYS
4/5 = 8/10
8/10 > 7/10
  • Question 2

Is the following comparison true or false?

 

3 > 7
4 8
CORRECT ANSWER
false
EDDIE SAYS
3/4 = 6/8
6/8 < 7/8
  • Question 3

Is the following comparison true or false?

 

2 < 5
3 6
CORRECT ANSWER
true
EDDIE SAYS
2/3 = 4/6
4/6 < 5/6
  • Question 4

Is the following comparison true or false?

 

3 < 5
4 6
CORRECT ANSWER
true
EDDIE SAYS
3/4 = 9/12
5/6 = 10/12
9/12 < 10/12
  • Question 5

Is the following comparison true or false?

 

2 > 1
6 4
CORRECT ANSWER
true
EDDIE SAYS
2/6 = 4/12
1/4 = 3/12
4/12 > 3/12
  • Question 6

Is the following comparison true or false?

 

2 > 3
6 8
CORRECT ANSWER
false
EDDIE SAYS
2/6 = 8/24
3/8 = 9/24
8/24 < 9/24
  • Question 7

Is the following comparison true or false?

 

3 < 4
6 9
CORRECT ANSWER
false
EDDIE SAYS
3/6 = 9/18
4/9 = 8/18
9/18 > 8/18
  • Question 8

Is the following comparison true or false?

 

5 > 8
6 10
CORRECT ANSWER
true
EDDIE SAYS
5/6 = 25/30
8/10 = 24/30
25/30 > 24/30
  • Question 9

Is the following comparison true or false?

 

11 > 8
15 10
CORRECT ANSWER
false
EDDIE SAYS
11/15 = 22/30
8/10 = 24/30
22/30 < 24/30
  • Question 10

Is the following comparison true or false?

 

5 < 4
9 6
CORRECT ANSWER
true
EDDIE SAYS
5/9 = 10/18
4/6 = 12/18
10/18 < 12/18
---- OR ----

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