basic mathematics image
 basic mathematics image

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 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!


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


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


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


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

Page copy protected against web site content infringement by Copyscape

Ask a Math Teacher
Math teachers are online. Ask a Question, Get an Answer ASAP.

[?] Subscribe To
This Site

Add to Google
Add to My Yahoo!
Add to My MSN
Add to Newsgator
Subscribe with Bloglines

|Are you a fan of this site? Support us |Our awards! |Our partners |About me |Disclaimer |Build your website! |Advertise on my site |Try our free toolbar |Like us on Facebook |Take our survey|
Copyright © 2008. All right reserved