# How to Divide Fractions

## Dividing Fractions

Imagine you wanted to divide ^{1}/_{5} (one-fifth) by ^{2}/_{3} (two-thirds).

## How to Divide Fractions

### Question

Divide the fractions below.

Dividing by a fraction can be changed to multiplying by a fraction (which is much easier!). Flip the fraction you are **dividing by** upside down, then change the ÷ to a ×.

### Step-by-Step:

# 1

Flip the fraction you **after the ÷** sign upside-down (so the top number becomes the bottom number and the bottom number becomes the top number).

# 2

Change the ÷ sign to a × sign.

Now we are multiplying fractions. Multiply ^{1}/_{5} (one-fifth) by ^{3}/_{2}.

# 3

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

1 × 3 = 3

# 4

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

5 × 2 = 10

# 5

The answer from **Step 3** is the numerator of our answer. The answer from **Step 4** is the denominator of our answer.

# 6

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

### Answer:

^{1}/_{5} (one-fifth) divided by ^{2}/_{3} (two-thirds) equals ^{3}/_{10} (three-tenths).

^{1}/_{5} ÷ ^{2}/_{3} = ^{3}/_{10}