№ 1024. Вычислите частное: а) 1 1/5 : 1/5; б) 2 2/5 : 2/3; в) 5/9 : 4 1/6; г) 5/6 : 3 1/3; д) 2 1/2 : 1 2/3; е) 3 1/2 : 1 3/4; ж) 2 2/5 : 1 1/5; з) 5 2/5 : 1 1/9.

1. а) \(1\frac{1}{5}:\frac{1}{5}=\frac{6}{5}\cdot5=6\).
2. б) \(2\frac{2}{5}:\frac{2}{3}=\frac{12}{5}\cdot\frac{3}{2}=\frac{18}{5}=3\frac{3}{5}\).
3. в) \(\frac{5}{9}:4\frac{1}{6}=\frac{5}{9}:\frac{25}{6}=\frac{5}{9}\cdot\frac{6}{25}=\frac{2}{15}\).
4. г) \(\frac{5}{6}:3\frac{1}{3}=\frac{5}{6}:\frac{10}{3}=\frac{5}{6}\cdot\frac{3}{10}=\frac{1}{4}\).
5. д) \(2\frac{1}{2}:1\frac{2}{3}=\frac{5}{2}:\frac{5}{3}=\frac{5}{2}\cdot\frac{3}{5}=\frac{3}{2}=1\frac{1}{2}\).
6. е) \(3\frac{1}{2}:1\frac{3}{4}=\frac{7}{2}:\frac{7}{4}=2\).
7. ж) \(2\frac{2}{5}:1\frac{1}{5}=\frac{12}{5}:\frac{6}{5}=2\).
8. з) \(5\frac{2}{5}:1\frac{1}{9}=\frac{27}{5}:\frac{10}{9}=\frac{243}{50}=4\frac{43}{50}\).

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) \(4\frac{43}{50}\).