Ответ:

  1. а) \(\frac{5}{9}:\frac{3}{5}=\frac{5}{9}\cdot\frac{5}{3}=\frac{25}{27}\).
  2. б) \(7\frac{6}{7}:9\frac{3}{7}=\frac{55}{7}:\frac{66}{7}=\frac{5}{6}\).
  3. в) \(\frac{3}{7}:\frac{5}{8}=\frac{3}{7}\cdot\frac{8}{5}=\frac{24}{35}\).
  4. г) \(3\frac{1}{9}:2\frac{11}{12}=\frac{28}{9}:\frac{35}{12}=\frac{16}{15}\).
  5. д) \(\frac{10}{51}:\frac{15}{68}=\frac{8}{9}\).
  6. е) \(\frac{24}{25}:12=\frac{2}{25}\).
  7. ж) \(8\frac{1}{3}:2\frac{2}{3}=\frac{25}{3}:\frac{8}{3}=\frac{25}{8}\).
  8. з) \(14:\frac{8}{15}=14\cdot\frac{15}{8}=\frac{105}{4}\).
  9. и) \(14:\frac{7}{8}=14\cdot\frac{8}{7}=16\).
  10. к) \(3\frac{5}{9}:2\frac{2}{3}=\frac{32}{9}:\frac{8}{3}=\frac{4}{3}\).
  11. л) \(\frac{6}{11}:3=\frac{2}{11}\).
  12. м) \(\frac{27}{52}:\frac{81}{65}=\frac{5}{12}\).

Ответ: а) \(\frac{25}{27}\); б) \(\frac{5}{6}\); в) \(\frac{24}{35}\); г) \(\frac{16}{15}\); д) \(\frac{8}{9}\); е) \(\frac{2}{25}\); ж) \(\frac{25}{8}\); з) \(\frac{105}{4}\); и) 16; к) \(\frac{4}{3}\); л) \(\frac{2}{11}\); м) \(\frac{5}{12}\).