**Multiplying Fractions**

Multiplying fractions is straightforward: you simply multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. Or, “**multiply the tops and multiply the bottoms”** for short.

**Example 1**

\begin{aligned}\frac{1}{2}\times \frac{1}{2}=\frac{1\times1}{2\times2}=\frac{1}{4}\end{aligned}

**Example 2**

\begin{aligned}\frac{2}{3}\times \frac{2}{3}=\frac{2\times 2}{3\times 3}=\frac{4}{9}\end{aligned}

And as always, where it is possible to do so you must simplify fractions as in the following example:

**Example 3**

\begin{aligned}\frac{3}{4}\times \frac{6}{8}=\frac{3\times 6}{4\times 8}=\frac{18}{32}\end{aligned}

Now we simplify \frac{18}{32} to get the final answer:

\begin{aligned}\frac{18}{32}=\frac{\sout2\times 9}{\sout2\times 16}=\frac{9}{16}\end{aligned}

### Key Outcomes

To multiply fractions together, multiply the tops (numerators) and multiply the bottoms (denominators). Always simplify where possible.