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.