2. Вычислите: г) $$\left(3 \frac{1}{6} - 5 \frac{5}{6} : 4 \frac{2}{15} \right) \cdot \frac{3}{92}$$

Решение:

г) $$\left(3 \frac{1}{6} - 5 \frac{5}{6} : 4 \frac{2}{15} \right) \cdot \frac{3}{92} = \left( \frac{19}{6} - \frac{35}{6} : \frac{62}{15} \right) \cdot \frac{3}{92} = \left( \frac{19}{6} - \frac{35}{6} \cdot \frac{15}{62} \right) \cdot \frac{3}{92} = \left( \frac{19}{6} - \frac{35 \cdot 15}{6 \cdot 62} \right) \cdot \frac{3}{92} = \left( \frac{19 \cdot 62}{6 \cdot 62} - \frac{35 \cdot 15}{6 \cdot 62} \right) \cdot \frac{3}{92} = \frac{19 \cdot 62 - 35 \cdot 15}{6 \cdot 62} \cdot \frac{3}{92} = \frac{1178 - 525}{372} \cdot \frac{3}{92} = \frac{653}{372} \cdot \frac{3}{92} = \frac{653 \cdot 3}{372 \cdot 92} = \frac{653}{124 \cdot 92} = \frac{653}{11368}$$

Ответ: $$\frac{653}{11368}$$