$$0,2 \cdot 3\frac{2}{3} - \frac{1}{5} \cdot \frac{1}{6} = \frac{2}{10} \cdot \frac{3 \cdot 3 + 2}{3} - \frac{1}{5 \cdot 6} = \frac{1}{5} \cdot \frac{9 + 2}{3} - \frac{1}{30} = \frac{1}{5} \cdot \frac{11}{3} - \frac{1}{30} = \frac{11}{15} - \frac{1}{30} = \frac{11 \cdot 2}{15 \cdot 2} - \frac{1}{30} = \frac{22}{30} - \frac{1}{30} = \frac{22 - 1}{30} = \frac{21}{30} = \frac{7 \cdot 3}{10 \cdot 3} = \frac{7}{10}$$
Ответ: $$\frac{7}{10}$$