#### Answer

$\frac{1}{3}$

#### Work Step by Step

$(\frac{5}{6} - \frac{7}{12}) - \frac{3}{4}(\frac{1}{3})^{2}$ = $(\frac{10}{12} - \frac{7}{12}) - \frac{3}{4}(\frac{1}{9})$ = $\frac{5}{12} - \frac{3}{36}$ = $\frac{15}{36} - \frac{3}{36}$ = $\frac{12}{36}$ = $\frac{1}{3}$