Вычислите: а) \frac{4}{5}:\frac{2}{25}; б) 1\frac{3}{7}:10; в) \frac{9}{35}:0,6.

1. а) $$\frac{4}{5}:\frac{2}{25} = \frac{4}{5} \cdot \frac{25}{2} = \frac{4 \cdot 25}{5 \cdot 2} = \frac{100}{10} = 10$$
2. б) $$1\frac{3}{7}:10 = \frac{10}{7}:10 = \frac{10}{7} \cdot \frac{1}{10} = \frac{10 \cdot 1}{7 \cdot 10} = \frac{1}{7}$$
3. в) $$\frac{9}{35}:0,6 = \frac{9}{35}:\frac{6}{10} = \frac{9}{35}:\frac{3}{5} = \frac{9}{35} \cdot \frac{5}{3} = \frac{9 \cdot 5}{35 \cdot 3} = \frac{45}{105} = \frac{3}{7}$$

Ответ: а) 10; б) \(\frac{1}{7}\); в) \(\frac{3}{7}\)