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,

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