# How to Divide Fractions (Mathematics Lesson)

# Dividing Fractions

Fractions can be divided.Imagine you wanted to divide

^{1}/

_{5}(one-fifth) by

^{2}/

_{3}(two-thirds).

# How to Divide Fractions

#### An Example Question

What is the answer to dividing the fractions below?**dividing by**upside down, then change the ÷ to a ×.

Step 1

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

Step 2

Now we are multiplying fractions. Multiply

^{1}/

_{5}(one-fifth) by

^{3}/

_{2}.

Step 3

1 × 3 = 3

Step 4

5 × 2 = 10

Step 5

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

**Step 4**is the denominator of our answer.

Step 6

# A Real Example of How to Divide Fractions

The slider below gives a real example of how to divide fractions.##### Quick Test

**show**

Here's a second test on dividing fractions.

Here's a third test on dividing fractions.

##### Top Tip

# Dividing by a Fraction = Multiplying by the Upside-Down Fraction

Dividing by a fraction is equivalent to multiplying by the reciprocal of the fraction (i.e the fraction turned upside-down).For example, to divide by two-thirds:

Change the ÷ sign to a × sign and flip the fraction upside-down:

The operation becomes:

which is just the same as multiplying fractions.

# Flip the Fraction You Are Dividing *by* - Not *Into*

When dividing one fraction by another, it is very important that the fraction *after*the ÷ sign is flipped over, not before it.

For example, to divide the following fractions:

The ÷ sign must be changed to a × sign. But it would be wrong to flip the first fraction upside-down:

It would be right to flip the second fraction over:

##### Note

**What Is a Fraction?**

A fraction is a part of a whole number.

Fractions consist of a numerator and a denominator.

There are three different types of fractions: