Найдите частное: а) \(\frac{5}{4}:\frac{2}{15}\); б) \(\frac{2}{3}:\frac{8}{9}\); в) \(\frac{64}{131}:\frac{32}{52}\); г) \(\frac{64}{125}:4\); д) \(9:\frac{3}{4}\).

1. \(\frac{5}{4}:\frac{2}{15}=\frac{5}{4}\cdot\frac{15}{2}=\frac{75}{8}=9\frac{3}{8}\).
2. \(\frac{2}{3}:\frac{8}{9}=\frac{2}{3}\cdot\frac{9}{8}=\frac{3}{4}\).
3. \(\frac{64}{131}:\frac{32}{52}=\frac{64}{131}\cdot\frac{52}{32}=\frac{2\cdot52}{131}=\frac{104}{131}\).
4. \(\frac{64}{125}:4=\frac{64}{125}\cdot\frac{1}{4}=\frac{16}{125}\).
5. \(9:\frac{3}{4}=9\cdot\frac{4}{3}=12\).

Ответ: а) \(\frac{75}{8}=9\frac{3}{8}\); б) \(\frac{3}{4}\); в) \(\frac{104}{131}\); г) \(\frac{16}{125}\); д) \(12\).