Задание 2. Найдите значение выражения: 1) \(\frac{\frac{1}{20}+\frac{1}{12}}{\frac{1}{27}}\); 2) \(\frac{\frac{1}{12}-\frac{1}{21}}{\frac{1}{70}}\); 3) \(\frac{\frac{1}{18}+\frac{1}{45}}{\frac{5}{27}}\); 4) \(\frac{\frac{1}{72}-\frac{1}{88}}{\frac{5}{99}}\); 5) \(\frac{\frac{1}{28}+\frac{1}{42}}{\frac{1}{21}}\); 6) \(\frac{\frac{1}{40}-\frac{1}{65}}{\frac{1}{78}}\).

1. \(\left(\frac{1}{20}+\frac{1}{12}\right):\frac{1}{27}=\frac{2}{15}\cdot27=\frac{18}{5}\).
2. \(\left(\frac{1}{12}-\frac{1}{21}\right):\frac{1}{70}=\frac{1}{28}\cdot70=\frac{5}{2}\).
3. \(\left(\frac{1}{18}+\frac{1}{45}\right):\frac{5}{27}=\frac{7}{90}\cdot\frac{27}{5}=\frac{21}{50}\).
4. \(\left(\frac{1}{72}-\frac{1}{88}\right):\frac{5}{99}=\frac{1}{396}\cdot\frac{99}{5}=\frac{1}{20}\).
5. \(\left(\frac{1}{28}+\frac{1}{42}\right):\frac{1}{21}=\frac{5}{84}\cdot21=\frac{5}{4}\).
6. \(\left(\frac{1}{40}-\frac{1}{65}\right):\frac{1}{78}=\frac{1}{104}\cdot78=\frac{3}{4}\).

Ответ: 1) \(\frac{18}{5}\); 2) \(\frac{5}{2}\); 3) \(\frac{21}{50}\); 4) \(\frac{1}{20}\); 5) \(\frac{5}{4}\); 6) \(\frac{3}{4}\).