# How to Multiply Fractions?

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Multiplying fractions with whole numbers is much easier than adding fractions.

Let us learn this by following examples :

## Example 1

If we have four children and each has two cookies, how many cookies are there in all? If we multiply 4 x 2, we find that there are 8 cookies total.

But what if we have four children and each has
2
3

Just like with whole numbers, we can use multiplication to solve a problem like this.

Multiply the numerator by the whole number, and leave the denominator the same.

We need to multiply 4 x
2
3
First, multiply the numerator by the whole number.

4 x 2 = 8

Remember, the denominator stays the same, so our answer is:

8
3

Since the numerator is larger than the denominator, you can tell that this fraction is bigger than one.

You can restate it as 2
2
3
.

Here is how we did it. To change an improper fraction to a mixed number, you must divide the numerator by the denominator. Then, the mixed number takes the following form :

• The answer becomes the whole number
• The remainder becomes the numerator
• The denominator stays the same ## Example 2

There are three bowls of soup on a table. Each bowl is
1
5
full. How much soup is there in total? We need to multiply 3 x
1
5
.

3 x 1
5
=
3
5

There is
3
5
of a bowl soup in total.

## How to Multiply Fractions?

• Fractions represent parts of whole numbers
• Numerator (number on top) represents how many parts of the whole you have
• Denominator (number on the bottom) represents how many equal parts the whole is divided into.
• Multiplying Fractions by a Whole Number: Multiply the numerator by the whole number, and leave the denominator the same.

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