Education & Reference / How to Divide Fractions

How to Divide Fractions

Dividing a whole number by a whole number is usually not a very difficult task, and almost everybody knows how to do it. But when it is necessary to divide fractions1, it can be a thorny problem for many people. For instance, do you know how to solve something like this: 3/5 ÷ 4/9? Do not feel ashamed, if you cannot do it. Keep reading this article and we will teach you how to divide fractions.

In fact, there are several ways of dividing fractions and we will explain you the two easiest ones.

Inverting and Multiplying

In order to divide fractions, using this method, do the following:

For example: 2/3÷2/5 = 2/3*5/2 = 10/6 = 1 4/6 = 1 2/3


Common Denominator

Another way of dividing fractions is using a common denominator. This method is lengthier but it can be more useful in everyday life. It includes the following steps:

E.g.: 4/5÷2/3 = 12/15÷10/15 = 12/10 = 1 1/5

Now you know two ways of dividing fractions. If you are going to teach your child how to divide a fraction by a fraction, you should better explain him the first method, because it is really much easier.
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