Answer
$\frac{1}{3}$
Work Step by Step
(-$\frac{7}{8}$) $\times$ ($\frac{4}{7}$) $\div$ (-$\frac{3}{2}$) =
RECALL:
$\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$
Use the rule above to obtain:
(-$\frac{7}{8}$) $\times$ ($\frac{4}{7}$) $\times$ (-$\frac{2}{3}$) =
Multiply the numerators by each other, and multiply the denominators by each other:
$\frac{(-7)\ \times\ 4\ \times\ (-2)}{8\ \times\ 7\ \times\ 3}$ =
Factor the numerator and the denominator:
$\frac{(-1)\ \times\ 7\ \times\ 2\ \times\ 2\ \times\ (-1)\ \times\ 2}{2\ \times\ 2\ \times\ 2\ \times\ 7\ \times\ 3}$ =
Cancel the common factors in the numerator and the denominator to obtain:
$\frac{(-1)\ \times\ (-1)}{3}$ =
$\frac{1}{3}$
