\[10\frac{2}{3} - 5\frac{1}{3}\ :3\frac{1}{5} = \frac{32}{3} - \frac{16}{3}\ :\frac{16}{5} =\]
\[= \frac{32}{3} - \frac{16 \cdot 5}{3 \cdot 16} = \frac{32}{3} - \frac{5}{3} = \frac{27}{3} = 9\]