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Complex Fractions

If the numerator or 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 numerator by denominator and simplify.




Therefore,




Example 2: Simplify .

Simplify numerator and denominator.




Divide numerator by denominator and simplify.




Therefore,




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