Решим пример:
$$\begin{aligned}
\left(4\frac{1}{6} : 3\frac{1}{3} + \frac{1}{5}\right) \cdot \frac{3}{6} = \left(\frac{25}{6} : \frac{10}{3} + \frac{1}{5}\right) \cdot \frac{1}{2} = \left(\frac{25}{6} \cdot \frac{3}{10} + \frac{1}{5}\right) \cdot \frac{1}{2} = \left(\frac{5}{2} \cdot \frac{1}{2} + \frac{1}{5}\right) \cdot \frac{1}{2} = \left(\frac{5}{4} + \frac{1}{5}\right) \cdot \frac{1}{2} = \left(\frac{25 + 4}{20}\right) \cdot \frac{1}{2} = \frac{29}{20} \cdot \frac{1}{2} = \frac{29}{40}
\end{aligned}$$
Ответ: $$\frac{29}{40}$$