Решение:
$$\frac{3}{11} \cdot (\frac{2}{5} - \frac{3}{10}) + 9 : 6 \cdot \frac{1}{2} = \frac{3}{11} \cdot (\frac{4}{10} - \frac{3}{10}) + \frac{9}{6} \cdot \frac{1}{2} = \frac{3}{11} \cdot \frac{1}{10} + \frac{3}{2} \cdot \frac{1}{2} = \frac{3}{110} + \frac{3}{4} = \frac{6}{220} + \frac{165}{220} = \frac{171}{220}$$Ответ: $$\frac{171}{220}$$