Вычислите значение выражения: a) $$\frac{\frac{3}{7} \cdot 1.1 - 1\frac{1}{6} : 0.05}{\frac{1}{7} : 0.25 \cdot 2\frac{2}{5}}$$

$$1.1 = \frac{11}{10}$$,

$$0.05 = \frac{5}{100} = \frac{1}{20}$$,

$$1\frac{1}{6} = \frac{7}{6}$$,

$$2\frac{2}{5} = \frac{12}{5}$$.

$$\frac{\frac{3}{7} \cdot \frac{11}{10} - \frac{7}{6} : \frac{1}{20}}{\frac{1}{7} : \frac{1}{4} \cdot \frac{12}{5}}$$.

В числителе:

$$\frac{3}{7} \cdot \frac{11}{10} = \frac{33}{70}$$,

$$\frac{7}{6} : \frac{1}{20} = \frac{7}{6} \cdot 20 = \frac{7 \cdot 20}{6} = \frac{7 \cdot 10}{3} = \frac{70}{3}$$.

В знаменателе:

$$\frac{1}{7} : \frac{1}{4} = \frac{1}{7} \cdot 4 = \frac{4}{7}$$,

$$\frac{4}{7} \cdot \frac{12}{5} = \frac{4 \cdot 12}{7 \cdot 5} = \frac{48}{35}$$.

$$\frac{33}{70} - \frac{70}{3} = \frac{33 \cdot 3 - 70 \cdot 70}{70 \cdot 3} = \frac{99 - 4900}{210} = \frac{-4801}{210}$$.

$$\frac{\frac{-4801}{210}}{\frac{48}{35}}$$.

$$\frac{-4801}{210} : \frac{48}{35} = \frac{-4801}{210} \cdot \frac{35}{48} = \frac{-4801 \cdot 35}{210 \cdot 48} = \frac{-4801 \cdot 1}{6 \cdot 48} = \frac{-4801}{288}$$.