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








Page copy protected against web site content infringement by Copyscape

Recent Articles

  1. Number Theory Test

    Jul 28, 16 02:47 PM

    Comprehensive number theory test to see how well you understand number theory

    Read More



New math lessons

* indicates required

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

What
job title, keywords
Where
city, state, zip
jobs by job search