1. Calculate parenthesis: $$2 \frac{2}{3} + 1 \frac{5}{6} = \frac{8}{3} + \frac{11}{6} = \frac{16}{6} + \frac{11}{6} = \frac{27}{6} = \frac{9}{2}$$.
2. Convert divisor to improper fraction: $$1 \frac{1}{2} = \frac{3}{2}$$.
3. Divide: $$\frac{9}{2} : \frac{3}{2} = \frac{9}{2} \cdot \frac{2}{3} = 3$$.