Answer
$1 \frac{1}{2}$
Work Step by Step
$\frac{9}{8} \div (\frac{2}{3} + \frac{1}{12})$ = $\frac{9}{8} \div (\frac{8}{12} + \frac{1}{12})$ = $\frac{9}{8} \div \frac{9}{12}$ = $\frac{9}{8} \times \frac{12}{9}$ = $\frac{1}{8} \times \frac{12}{1}$ = $\frac{12}{8}$ = $1 \frac{4}{8}$ = $1 \frac{1}{2}$