Multiplying Fractions with Whole Numbers

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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

of a cookie? How many cookies are there in all?

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

First, multiply the numerator by the whole number.

That's your new numerator!

4 x 2 = 8

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

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

You can restate it as 2

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

full. How much soup is there in total?

We need to multiply 3 x

3 x 1

There is

of a bowl soup in total.

Summary

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.