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 equation.

Simplify numerator and denominator.

equation

equation is already a single fraction expression.

equation

Divide the numerator by the denominator and simplify.

equation

Therefore, equation

Example 2

Simplify equation.

Simplify numerator and denominator.

equation

Divide numerator by denominator and simplify.

equation

Therefore, equation