Exercise 10 Page 825

A complex fraction is a rational expression that has at least one fraction in its numerator, denominator, or both. We want to simplify the given complex fraction. 9m-n/32m-2nTo do so, we will multiply the numerator by the reciprocal of the denominator. 9m-n/32m-2n ⇔ 9/m-n * 2m-2n/3 We can simplify this expression.

9/m-n * 2m-2n/3

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Simplify

MultFrac

Multiply fractions

9(2m-2n)/(m-n)3

FactorOut

Factor out 2

9*2(m-n)/(m-n)3

SplitIntoFactors

Split into factors

3*3*2(m-n)/(m-n)3

CancelCommonFac

Cancel out common factors

3*3*2(m-n)/(m-n)3

SimpQuot

Simplify quotient

3* 2

Multiply

Multiply

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