# Chapters 1-2 - Cumulative Review Exercises: 45

$\frac{7}{12}$

#### Work Step by Step

$\frac{7}{8}$ $\div$ 1$\frac{1}{2}$ First convert the mixed fraction 1$\frac{1}{2}$ into improper fraction 1$\frac{1}{2}$ Multiply whole number 1 to denominator and than add numerator to it. 3 Put 3 in the numerator than denominator is going to be the same $\frac{3}{2}$ $\frac{7}{8}$ $\div$ $\frac{3}{2}$ The reciprocal of $\frac{3}{2}$ is $\frac{2}{3}$ Now multiply $\frac{7}{8}$ and the reciprocal $\frac{2}{3}$ $\frac{7}{8}$ *$\frac{2}{3}$ Divide the numerator and denominator by common factor 2 $\frac{7* 1}{4 * 3}$ = $\frac{7}{12}$ $\frac{7}{12}$ is in lowest term.

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