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Work Out the Missing Numbers in Equivalent Fractions

In this worksheet, students work out the missing numbers in equivalent fractions.

'Work Out the Missing Numbers in Equivalent Fractions' worksheet

Key stage:  KS 2

Curriculum topic:  Maths and Numerical Reasoning

Curriculum subtopic:  Fractions

Difficulty level:  

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Worksheet Overview

QUESTION 1 of 10

To create equivalent fractions, we must multiply the numerator and denominator of a fraction by the SAME MAGIC NUMBER.

 

Example

 

Find the values of the letters that make these fractions equivalent.

 

3
10
=
A
60
=
12
B

 

Solution

 

3
10
=
A
60
 
 
 

 

Here the magic number is 6 because 60 ÷ 10 = 6

So if we multiply top and bottom by 6 we get an equivalent fraction.

So A = 6 x 3 = 18

 

 

3
10
=

 
 
 
12
B

 

 

Here the magic number is 4 because 12 ÷ 3 = 4

So if we multiply top and bottom by 4 we get an equivalent fraction.

So B = 10 x 4 = 40 

 

Answer

3
10
=
18
60
=
12
40

Find the values of the letters that make these fractions equivalent.

 

2
16
=
A
32
=
6
B

 

Column A

Column B

A
4
B
48

 

Find the values of the letters that make these fractions equivalent.

 

5
14
=
A
56
=
25
B

 

Column A

Column B

A
20
B
70

 

Find the values of the letters that make these fractions equivalent.

 

10
 
13
=
A
143
=
50
B

 

Column A

Column B

A
65
B
110

 

Find the values of the letters that make these fractions equivalent.

 

7
15
=
A
150
=
21
B

 

Column A

Column B

A
45
B
70

 

Find the values of the letters that make these fractions equivalent.

 

1
6
=
A
72
=
5
B

 

Column A

Column B

A
30
B
12

 

Find the values of the letters that make these fractions equivalent.

 

8
11
=
A
44
=
96
B

 

Column A

Column B

A
32
B
132

 

Find the values of the letters that make these fractions equivalent.

 

3
6
=
A
36
=
21
B

 

Column A

Column B

A
42
B
18

 

Find the values of the letters that make these fractions equivalent.

 

4
13
=
A
52
=
24
B

 

Column A

Column B

A
16
B
78

 

Find the values of the letters that make these fractions equivalent.

 

8
15
=
A
45
=
96
B

 

Column A

Column B

A
24
B
180

 

Find the values of the letters that make these fractions equivalent.

 

1
3
=
A
21
=
12
B

 

Column A

Column B

A
7
B
36
  • Question 1

Find the values of the letters that make these fractions equivalent.

 

2
16
=
A
32
=
6
B

 

CORRECT ANSWER

Column A

Column B

A
4
B
48
  • Question 2

 

Find the values of the letters that make these fractions equivalent.

 

5
14
=
A
56
=
25
B

 

CORRECT ANSWER

Column A

Column B

A
20
B
70
  • Question 3

 

Find the values of the letters that make these fractions equivalent.

 

10
 
13
=
A
143
=
50
B

 

CORRECT ANSWER

Column A

Column B

A
110
B
65
  • Question 4

 

Find the values of the letters that make these fractions equivalent.

 

7
15
=
A
150
=
21
B

 

CORRECT ANSWER

Column A

Column B

A
70
B
45
  • Question 5

 

Find the values of the letters that make these fractions equivalent.

 

1
6
=
A
72
=
5
B

 

CORRECT ANSWER

Column A

Column B

A
12
B
30
  • Question 6

 

Find the values of the letters that make these fractions equivalent.

 

8
11
=
A
44
=
96
B

 

CORRECT ANSWER

Column A

Column B

A
32
B
132
  • Question 7

 

Find the values of the letters that make these fractions equivalent.

 

3
6
=
A
36
=
21
B

 

CORRECT ANSWER

Column A

Column B

A
18
B
42
  • Question 8

 

Find the values of the letters that make these fractions equivalent.

 

4
13
=
A
52
=
24
B

 

CORRECT ANSWER

Column A

Column B

A
16
B
78
  • Question 9

 

Find the values of the letters that make these fractions equivalent.

 

8
15
=
A
45
=
96
B

 

CORRECT ANSWER

Column A

Column B

A
24
B
180
  • Question 10

 

Find the values of the letters that make these fractions equivalent.

 

1
3
=
A
21
=
12
B

 

CORRECT ANSWER

Column A

Column B

A
7
B
36
---- OR ----

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