1024. Вычислите: а) \(1\frac{1}{5}:\frac{1}{5}\); б) \(2\frac{2}{5}:\frac{2}{3}\); в) \(\frac{5}{9}:4\frac{1}{6}\); г) \(\frac{5}{6}:3\frac{1}{3}\); д) \(2\frac{1}{2}:1\frac{2}{3}\); е) \(3\frac{1}{2}:1\frac{3}{4}\); ж) \(2\frac{2}{5}:1\frac{1}{5}\); з) \(5\frac{2}{5}:1\frac{1}{9}\).

а) \(1\frac{1}{5}:\frac{1}{5}=\frac{6}{5}\cdot5=6\).

б) \(2\frac{2}{5}:\frac{2}{3}=\frac{12}{5}\cdot\frac{3}{2}=\frac{18}{5}=3\frac{3}{5}\).

в) \(\frac{5}{9}:4\frac{1}{6}=\frac{5}{9}:\frac{25}{6}=\frac{5}{9}\cdot\frac{6}{25}=\frac{2}{15}\).

г) \(\frac{5}{6}:3\frac{1}{3}=\frac{5}{6}:\frac{10}{3}=\frac{5}{6}\cdot\frac{3}{10}=\frac{1}{4}\).

д) \(2\frac{1}{2}:1\frac{2}{3}=\frac{5}{2}:\frac{5}{3}=\frac{3}{2}=1\frac{1}{2}\).

е) \(3\frac{1}{2}:1\frac{3}{4}=\frac{7}{2}:\frac{7}{4}=2\).

ж) \(2\frac{2}{5}:1\frac{1}{5}=\frac{12}{5}:\frac{6}{5}=2\).

з) \(5\frac{2}{5}:1\frac{1}{9}=\frac{27}{5}:\frac{10}{9}=\frac{27}{5}\cdot\frac{9}{10}=\frac{243}{50}=4\frac{43}{50}\).

Ответ: а) \(6\); б) \(3\frac{3}{5}\); в) \(\frac{2}{15}\); г) \(\frac{1}{4}\); д) \(1\frac{1}{2}\); е) \(2\); ж) \(2\); з) \(4\frac{43}{50}\).