\[- 3\frac{5}{9}\ :\left( - 2\frac{2}{3} \right) = \frac{32}{9}\ :\frac{8}{3} = \frac{32}{9} \cdot \frac{3}{8} =\]
\[= \frac{4 \cdot 8 \cdot 3}{3 \cdot 3 \cdot 8} = \frac{4}{3} = 1\frac{1}{3}\]