# Work Out the Missing Numbers in Equivalent Fractions

In this worksheet, students work out the missing numbers in equivalent fractions. Key stage:  KS 3

Curriculum topic:   Number

Curriculum subtopic:   Use Concepts and Vocabulary for All Numbers

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
4
B
48

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
65
B
110

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

7  15
=
 A 150
=
21 B

## Column B

A
45
B
70

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
32
B
132

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 ---- 