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

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