Examples of complex fractions

This lesson will provide you with good examples of complex fractions. But what is a complex fraction?

Complex fractions are fractions whose numerator, denominator, or both are also fractions.

Another way to put it is to say that a complex fraction is a ratio of two fractions

All the following are complex fractions:

complex fractions
Complex fractions can look quite sophisticated and scary sometimes. Take a look at the following. When I was in the 7th grade, the teacher put something that looked like the one you see below and then asked us to solve it. I was scared!

Complex fractions
The strategy is to break the complex fractions into smaller pieces that you can easily solve as shown below:

Very complex fraction
Compute the smaller pieces:

3/2 + 3/2 = 6/2 = 3

1/4 + 1/2 = 1/4 + 2/4 = 3/4

2/4 + 1 = 2/4 + 4/4 = 6/4

Complex fraction
Break this fraction again in smaller pieces, two to be more precise

Complex fraction
Compute the smaller pieces:

3 ÷(3/4) = (3/1)÷(3/4) = (3/1)×(4/3) = 12/3 = 4

Finally, just do 4 ÷ (6/4) = 4/1 × 4/6 = 16/6

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Proof of the Law of Sines

    Oct 24, 16 06:10 PM

    Straightforward proof of the law of sines. Easy to follow and understand

    Read More