Answer
$\frac{2}{3}$
Work Step by Step
($\frac{4}{9}$) $\times$ (-$\frac{9}{8}$) $\div$ (-$\frac{3}{4}$) =
RECALL:
$\frac{a}{b}$ $\div$ $\frac{c}{d}$ = $\frac{a}{b}$ $\times$ $\frac{d}{c}$
Use the rule above to obtain:
($\frac{4}{9}$) $\times$ (-$\frac{9}{8}$) $\times$ (-$\frac{4}{3}$) =
Multiply the numerators by each other, and multiply the denominators by each other:
$\frac{(4)\ \times\ (-9)\ \times\ (-4)}{9\ \times\ 8\ \times\ 3}$ =
Factor the numerator and the denominator
$\frac{2\ \times\ 2\ \times\ (-1)\ \times\ 3\ \times\ 3\ \times\ (-1)\ \times\ 2\ \times\ 2}{3\ \times\ 3\ \times\ 2\ \times\ 2\ \times\ 2\ \times\ 3}$ =
Cancel the common factors in the numerator and the denominator to obtain:
$\frac{2}{3}$
