Multiply Fractions Including Mixed Numbers

In this activity, we will be learning to multiply proper fractions. 

A proper fraction is one where the numerator is smaller than the denominator. 

Proper fractions are worth less than one whole. 

Let's look at the method of multiplying fractions!

Step 1: Multiply the numerators together.

Step 2: Multiply the denominators together.

Step 3: Simplify the fraction if necessary. 

1 x 2 = 2

9 x 3 = 27

The answer is:

2/27

We cannot simplify 2/27 since there is no common factor of 2 and 27.

Let's try an example question together. 

Example

Work out the following, remembering to give your answer in its lowest terms.

Answer

Step 1: Multiply the numerators together.

3 x 4 = 12

Step 2: Multiply the denominators together.

5 x 8 = 40

Step 3: Simplify the fraction if necessary. 

12/40 can be simplified to 3/10 when we divide both the numerator and denominator by the same factor (4).

The answer will be 3/10.

Does that make sense?

Now it's time to try some questions like this for yourself.