Answer
$\frac{3}{8}$
Work Step by Step
$(-\frac{3}{4})^{2}\div(\frac{2}{3}+\frac{5}{6})$
$=(-\frac{3}{4}\times-\frac{3}{4})\div(\frac{4}{6}+\frac{5}{6})$
$=(\frac{3}{4}\times\frac{3}{4})\div\frac{9}{6}$
$=\frac{9}{16}\div\frac{3}{2}$
$=\frac{9}{16}\times\frac{2}{3}$
$=\frac{3}{8}\times\frac{1}{1}$
$=\frac{3}{8}$
