In this lesson, we will use some examples to
explain the basics behind dividing fractions.
About This Lesson
It is quite easy to divide fractions after
we learned how to multiply fractions. This is
because dividing fractions is closely related to multiplying
fractions.
This relation lies in the step needed
to convert the division to multiplication.
The picture on the right will give you a rough
idea on this.
The study tips and math video
below will explain more.
Study Tips
Tip #1 - Reciprocal of a fraction
We need to know how to find the reciprocal of a fraction before we can proceed. The example below shows how:
Find the reciprocal of the
following fraction:
To do so, we simply swap the numerator
and denominator:
Hence, the reciprocal of ^{3}/_{4} is:
Tip #2 - Dividing Fractions
The following example shows the steps required
to divide fractions:
First, we change the division to
multiplication. Then, we change the
divisor ^{3}/_{4}, to its reciprocal, ^{4}/_{3}.
After doing so, we can continue by
multiplying these fractions: