## The Lesson

Fractions can be multiplied. Imagine you wanted to multiply^{2}/

_{5}(two-fifths) with

^{1}/

_{3}(one-third).

## How to Multiply Fractions

## Question

Multiply the fractions below.## Step-by-Step:

# 1

Multiply the top numbers (called the numerators) of the fractions together.

2 × 1 = 2

# 2

Multiply the bottom numbers (called the denominators) of the fractions together.

5 × 3 = 15

# 3

The answer from

**Step 1**is the numerator of our answer. The answer from**Step 2**is the denominator of our answer.# 4

Simplify the fraction if possible. (The fraction in our example is already as simple as possible).

## Answer:

^{2}/

_{5}(two-fifths) multiplied by

^{1}/

_{3}(one-third) equals

^{2}/

_{15}(two-fifteenths).

^{2}/

_{5}×

^{1}/

_{3}=

^{2}/

_{15}

## Multiplying Fractions Is Easy

Multiply the tops together, multiply the bottoms together. Then simplify (if possible):## Top Tip

## A Half of a Third

When you see the word "of" following a fraction, it means multiply or ×. Half**of**a third means: