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How to Multiply Fractions (Mathematics Lesson)

Multiplying Fractions

Fractions can be multiplied.

Imagine you wanted to multiply 2/5 (two-fifths) with 1/3 (one-third).

How to Multiply Fractions

An Example Question

What is the answer to multiplying the fractions below?

Step 1
Multiply the top numbers (called the numerators) of the fractions together.
2 × 1 = 2
Step 2
Multiply the bottom numbers (called the denominators) of the fractions together.
5 × 3 = 15
Step 3
The answer from Step 1 is the numerator of our answer. The answer from Step 2 is the denominator of our answer.



Step 4
Simplify the fraction if possible. (The fraction in our example is already as simple as possible.)

Multiplying Fractions Is Easy

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

A Real Example of How to Multiply Fractions

The slider below gives a real example of how to multiply fractions.
Quick Test
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Here's a second test on multiplying fractions.
Here's a third test on multiplying fractions.
Top Tip

A Half of a Third

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

A half of a third means:

It's Easier Than Adding and Subtracting

Before you can add or subtract fractions, you have to make sure the bottom numbers (called the denominators) of both fractions are the same.

When you are multiplying fractions, it doesn't matter if the denominators aren't the same.

Just multiply the top numbers, multiply the bottom numbers, then simplify.

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: