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

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