  # 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

Popular topics:   Equivalent Fractions worksheets

Difficulty level:   #### Worksheet Overview

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

### What is EdPlace?

We're your National Curriculum aligned online education content provider helping each child succeed in English, maths and science from year 1 to GCSE. With an EdPlace account you’ll be able to track and measure progress, helping each child achieve their best. We build confidence and attainment by personalising each child’s learning at a level that suits them.

Get started 