#### Answer

$\frac{27}{32}$

#### Work Step by Step

$(\frac{3}{4})^{2}\div(\frac{3}{4}-\frac{1}{12})$
$=(\frac{3}{4}\times\frac{3}{4})\div(\frac{9}{12}-\frac{1}{12})$
$=\frac{9}{16}\div(\frac{8}{12})$
$=\frac{9}{16}\div\frac{2}{3}$
$=\frac{9}{16}\times\frac{3}{2}$
$=\frac{27}{32}$