Algebra Tutorials!

 Sunday 25th of February

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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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Simplifying Complex Fractions

A complex fraction is a fraction that contains other fractions.

Here are three examples of complex fractions.

There are two methods for simplifying complex fractions.

Procedure

To Simplify a Complex Fraction

Step 1 Write the numerator and denominator each as a single fraction.

Step 2 Rewrite the complex fraction using the division symbol, Ã·.

Step 3 Invert the second fraction and change Ã· to Â·.

Step 4 Multiply.

Example

Simplify:

 Solution Step 1 Write the numerator and denominator each as a single fraction. The numerator and denominator are already single fractions. Step 2 Rewrite the fraction using Ã·. Step 3 Invert the second fraction and change Ã· to Â·. Step 4 Multiply. Factor the numerators and denominators. Cancel all pairs of common factors. Multiply. So, the result is .

Note

In , the numerator is and the denominator is .