## Complex Fractions

If the numerator, denominator, or both contain fractions, then the expression is called a complex fraction. The fraction bar indicates division. To simplify a complex fraction:

1. Simplify both numerator and denominator expressions into single fraction expressions.

2. Divide the numerator by the denominator and simplify if possible.

##### Example 1

Simplify .

Simplify numerator and denominator.

is already a single fraction expression.

Divide the numerator by the denominator and simplify.

Therefore,

##### Example 2

Simplify .

Simplify numerator and denominator.

Divide numerator by denominator and simplify.

Therefore,