2. Выполнить деление: a) \(\frac{5}{7}:\frac{1}{9}\) б) \(\frac{5}{27}:3\frac{5}{15}\) в) \(\frac{2}{13}:6\)

Решаем:

а) \(\frac{5}{7}:\frac{1}{9}=\frac{5}{7}\cdot\frac{9}{1}=\frac{5\cdot9}{7\cdot1}=\frac{45}{7}=6\frac{3}{7}\)

б) \(\frac{5}{27}:3\frac{5}{15}=\frac{5}{27}:\frac{50}{15}=\frac{5}{27}\cdot\frac{15}{50}=\frac{5\cdot15}{27\cdot50}=\frac{1}{9\cdot2}=\frac{1}{18}\)

в) \(\frac{2}{13}:6=\frac{2}{13}:\frac{6}{1}=\frac{2}{13}\cdot\frac{1}{6}=\frac{2\cdot1}{13\cdot6}=\frac{1}{13\cdot3}=\frac{1}{39}\)