Exercise 7 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. 23/6c+4To do so, we will multiply the numerator by the reciprocal of the denominator. 23/6c+4 ⇔ 2/3 * c+4/6 We can simplify this expression.

2/3 * c+4/6

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Simplify

MultFrac

Multiply fractions

2(c+4)/3* 6

SplitIntoFactors

Split into factors

2(c+4)/3* 2* 3

CancelCommonFac

Cancel out common factors

2(c+4)/3* 2* 3

SimpQuot

Simplify quotient

c+4/3* 3

Multiply

Multiply

c+4/9