# Work Out the Missing Numbers in Equivalent Fractions

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

Key stage:  KS 2

Curriculum topic:   Maths and Numerical Reasoning

Curriculum subtopic:   Fractions

Difficulty level:

### 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

 3 10
=
 18
60
=
12
 40

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

2
16
=
 A
32
=
6
 B

## Column B

A
48
B
4

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

5
14
=
 A
56
=
25
 B

## Column B

A
20
B
70

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

10

13
=
 A
143
=
50
 B

## Column B

A
110
B
65

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

7
15
=
 A
150
=
21
 B

## Column B

A
70
B
45

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

1
6
=
 A
72
=
5
 B

## Column B

A
30
B
12

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

8
11
=
 A
44
=
96
 B

## Column B

A
132
B
32

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

3
6
=
 A
36
=
21
 B

## Column B

A
18
B
42

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

4
13
=
 A
52
=
24
 B

## Column B

A
16
B
78

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

8
15
=
 A
45
=
96
 B

## Column B

A
24
B
180

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

1
3
=
 A
21
=
12
 B

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## 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

## Column B

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

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