Найдите частное: 1) \(8 : \frac{4}{5}\) 2) \(1 : \frac{7}{16}\) 3) \(\frac{8}{15} : 24\) 4) \(12\frac{1}{2} : 3\frac{3}{4}\) 5) \(1\frac{3}{5} : 5\frac{1}{3}\) 6) \(2\frac{5}{8} : \frac{7}{32}\)

Решение:

1. \(8 : \frac{4}{5} = 8 \times \frac{5}{4} = 2 \times 5 = 10\)
2. \(1 : \frac{7}{16} = 1 \times \frac{16}{7} = \frac{16}{7}\)
3. \(\frac{8}{15} : 24 = \frac{8}{15} \times \frac{1}{24} = \frac{1}{15} \times \frac{1}{3} = \frac{1}{45}\)
4. \(12\frac{1}{2} : 3\frac{3}{4} = \frac{25}{2} : \frac{15}{4} = \frac{25}{2} \times \frac{4}{15} = \frac{5}{1} \times \frac{2}{3} = \frac{10}{3}\)
5. \(1\frac{3}{5} : 5\frac{1}{3} = \frac{8}{5} : \frac{16}{3} = \frac{8}{5} \times \frac{3}{16} = \frac{1}{5} \times \frac{3}{2} = \frac{3}{10}\)
6. \(2\frac{5}{8} : \frac{7}{32} = \frac{21}{8} : \frac{7}{32} = \frac{21}{8} \times \frac{32}{7} = 3 \times 4 = 12\)

Ответ: 1) 10; 2) \(\frac{16}{7}\); 3) \(\frac{1}{45}\); 4) \(\frac{10}{3}\); 5) \(\frac{3}{10}\); 6) 12.