Вычислите: 1) 8 : 4/5; 2) 6 · 7/18; 3) 8/15 : 24; 4) 5 8/5 · 3/7; 5) 1 3/5 : 5 1/3.

1. \(8:\frac{4}{5}=8\cdot\frac{5}{4}=10\).
2. \(6\cdot\frac{7}{18}=\frac{42}{18}=\frac{7}{3}=2\frac{1}{3}\).
3. \(\frac{8}{15}:24=\frac{8}{15}\cdot\frac{1}{24}=\frac{1}{45}\).
4. \(5\frac{8}{5}=\frac{33}{5}\), поэтому \(\frac{33}{5}\cdot\frac{3}{7}=\frac{99}{35}=2\frac{29}{35}\).
5. \(1\frac{3}{5}=\frac{8}{5}\), \(5\frac{1}{3}=\frac{16}{3}\). Поэтому \(\frac{8}{5}:\frac{16}{3}=\frac{8}{5}\cdot\frac{3}{16}=\frac{3}{10}\).

Ответ: 1) 10; 2) \(2\frac{1}{3}\); 3) \(\frac{1}{45}\); 4) \(2\frac{29}{35}\); 5) \(\frac{3}{10}\).