Elementary Technical Mathematics

$$-1\frac{1}{2}.$$
We simplify by removing the parenthesis and multiply the terms as follows: $$\left( -\frac{9}{16} \right) \left( 2\frac{2}{3} \right)= - \frac{9}{16} \cdot \frac{8}{3} \\ =-\frac{3}{2}=-1\frac{1}{2}.$$