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:
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Simplify both numerator and denominator expressions into single fraction expressions.
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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,