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.

complex fractions
Another way to put it is to say that a complex fraction is a ratio of two fractions. All the fractions above 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!

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:

Here is how to add piece #1: 3/2 + 3/2 = 6/2 = 3

Here is how to add piece #2: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

Here is how to add piece #3: 2/4 + 1 = 2/4 + 4/4 = 6/4
Complex fraction

Break this fraction again in smaller pieces, two to be more precise. Call the two pieces piece #1 and piece #2 again.
Complex fraction

Compute the smaller pieces:

Here is how to divide piece #1: 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

Recent Articles

  1. Find the Number of Combinations

    Jul 30, 21 06:15 AM

    Learn quickly how to find the number of combinations with this easy to follow lesson.

    Read More

Enjoy this page? Please pay it forward. Here's how...

Would you prefer to share this page with others by linking to it?

  1. Click on the HTML link code below.
  2. Copy and paste it, adding a note of your own, into your blog, a Web page, forums, a blog comment, your Facebook account, or anywhere that someone would find this page valuable.