$$0,2 \cdot 3\frac{2}{3} - \frac{1}{5} \cdot \frac{1}{6} = \frac{2}{10} \cdot \frac{11}{3} - \frac{1}{5} \cdot \frac{1}{6} = \frac{1}{5} \cdot \frac{11}{3} - \frac{1}{5} \cdot \frac{1}{6} = \frac{1}{5}(\frac{11}{3} - \frac{1}{6}) = \frac{1}{5} \cdot \frac{11 \cdot 2 - 1}{6} = \frac{1}{5} \cdot \frac{22-1}{6} = \frac{1}{5} \cdot \frac{21}{6} = \frac{1}{5} \cdot \frac{7}{2} = \frac{7}{10} = 0,7$$
Ответ: $$0,7$$