Work Out the Missing Numbers in Equivalent Fractions

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

 

Answer

 

3 10

A 60

 

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

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

 

So, B = 10 x 4 = 40 

 

Answer

 

3 10

18 60

12 40

 

 

Let's have a go at some questions now.