**Multiplying**

Multiplying fractions is quite easy if you follow these steps.

Simply multiply the numerators (top numbers) and multiply the denominators (bottom numbers) and then simplify if needed.

Examples:

- 2/3 x 4/5 = 8/15

(No simplification required as no whole number divides evenly into 8 and 15.)

- 5/8 x 3/5 = 15/40 (divide both numerator & denominator by 5) = 3/8

**Dividing**

To divide fractions, you will need to change things around a bit. Once the changes are made, however, you can simply follow the multiplication rules.

For division, use the reciprocal of the fraction being divided (basically flip it!).

Examples:

- 3/ 4 ÷ 1/ 4

= 3/ 4 x 4/1

= 12/4 (then simplify by converting to a whole number)

= 3

- 5/6 ÷ 4/5

= 5/6 x 5/4

= 25/24 (then simplify by converting into a mixed number)

= 1 1/24

**Whole and Mixed Numbers**

Sometimes you will have mixed number or whole numbers as well as fractions. Not to worry, the methods here are just as easy.

Turning whole numbers into fractions is simple – simply put the number over 1.

For example: 5 becomes 5/1 or 137 becomes 137/1

Example:

- 5/8 x 6

= 5/8 x 6/1

= 30/8 (simplify) = 3 6/8 = 3 3/ 4

Mixed numbers need to be converted into improper fractions. To do this multiply the denominator by the whole number and add the numerator.

Example: 2 7/9 = 25/9

Let’s try a couple of examples for multiplying mixed numbers.

Examples:

- 4 ¾ x 5

= 19/4 x 5/1

= 95/4

= 23 ¾

- 3 2/3 x 4 1/6

= 11/3 x 25/6

= 275/18

= 15 5/18

Now for a couple division questions.

- 4 3/8 ÷ 2 1/ 2

= 35/8 ÷ 5/2

= 35/8 x 2/5

= 70/40

= 1 30/40

= 1 ¾

- 6 1/ 2 ÷ 2 1/3

= 13/2 ÷ 7/3

= 13/2 x 3/7

= 39/14

= 2 11/14

As you can see, multiplying and dividing fractions is not all that scary as long as you follow the steps.

I do realize that some of you might not be familiar with a few of the steps that come before in fractions. If you would like a nice introduction to fractions or a reminder, I do have a course that covers all the basics of fractions.

(If the sale price has lapsed, send me an e-mail, and I can provide you with a coupon.)

The Complete Fractions Course

In the meantime, have fun with fractions!