# How to Multiply Fractions

## Multiplying Fractions

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):