9. Найдите частное:

Решение:

1. \( 8 : \frac{4}{5} = 8 \cdot \frac{5}{4} = \frac{8 \cdot 5}{4} = \frac{40}{4} = 10 \)
2. \( 1 \frac{7}{16} : \frac{3}{5} = \frac{23}{16} : \frac{3}{5} = \frac{23}{16} \cdot \frac{5}{3} = \frac{23 \cdot 5}{16 \cdot 3} = \frac{115}{48} \)
3. \( 15 : \frac{8}{24} = 15 : \frac{1}{3} = 15 \cdot 3 = 45 \)
4. \( 12 \frac{1}{2} : 3 \frac{3}{4} = \frac{25}{2} : \frac{15}{4} = \frac{25}{2} \cdot \frac{4}{15} = \frac{25 \cdot 4}{2 \cdot 15} = \frac{100}{30} = \frac{10}{3} \)
5. \( 1 \frac{3}{5} : 5 \frac{1}{3} = \frac{8}{5} : \frac{16}{3} = \frac{8}{5} \cdot \frac{3}{16} = \frac{8 \cdot 3}{5 \cdot 16} = \frac{24}{80} = \frac{3}{10} \)
6. \( 2 \frac{5}{8} : \frac{7}{32} = \frac{21}{8} : \frac{7}{32} = \frac{21}{8} \cdot \frac{32}{7} = \frac{21 \cdot 32}{8 \cdot 7} = \frac{3 \cdot 4}{1} = 12 \)

Ответ: 1) 10; 2) \(\frac{115}{48}\); 3) 45; 4) \(\frac{10}{3}\); 5) \(\frac{3}{10}\); 6) 12.