# Multiplying Fractions

For example, when you multiply 3 x 4, you could make a model that is 3 across and 4 down.

We can use the same sort of model to multiply fractions. If you have proper fractions, you will need to start with a unit square.

Check out this example:

So let's see what happened mathematically.

When we multiply fractions, we multiply the numerators and then we multiply the denominators.

We can use this as our algorithm to multiply fractions.

**Example 1:**

Multiply the tops. Then multiply the bottoms.

**Example 2:**

We will follow the same steps again.

**Example 3:**

In this example, we get an improper fraction. We can rewrite this as a mixed number.

**Example:**

We can even use this method to multiply a fraction with a whole number. The key is to write the whole number as a fraction first. 4 becomes 4 over 1. 8 becomes 8 over 1.

Now we can change the improper fraction to a mixed number to show our answer.

So let's review.

To multiply fractions, you simply need to multiply the numerators and then multiply the denominators. Finally, write your answer as a fraction.

**Related Links:**

Math

Fractions

Fraction Multiplication Worksheets

Math Vocabulary - Division and Fractions Quiz

Add and Subtract Like Fractions Quiz

Add and Subtract unlike fractions Quiz

Multiply Fractions Quiz

Dividing Fractions Quiz

Factors