Ответ:

  1. \(\frac{9}{14}:\frac{3}{7}=\frac{9}{14}\cdot\frac{7}{3}=\frac{3}{2}=1\frac{1}{2}\).
  2. \(\frac{6}{35}:\frac{18}{49}=\frac{6}{35}\cdot\frac{49}{18}=\frac{7}{15}\).
  3. \(\frac{27}{40}:\frac{9}{56}=\frac{27}{40}\cdot\frac{56}{9}=\frac{21}{5}=4\frac{1}{5}\).
  4. \(\frac{25}{72}:\frac{45}{63}=\frac{25}{72}\cdot\frac{63}{45}=\frac{35}{72}\).
  5. \(8:\frac{2}{9}=8\cdot\frac{9}{2}=36\).
  6. \(\frac{7}{25}:28=\frac{7}{25}\cdot\frac{1}{28}=\frac{1}{100}\).
  7. \(2\frac{2}{3}:2\frac{2}{7}=\frac{8}{3}:\frac{16}{7}=\frac{8}{3}\cdot\frac{7}{16}=\frac{7}{6}=1\frac{1}{6}\).
  8. \(4\frac{4}{9}:\frac{5}{27}=\frac{40}{9}\cdot\frac{27}{5}=24\).

Ответ: 1) \(1\frac{1}{2}\); 2) \(\frac{7}{15}\); 3) \(4\frac{1}{5}\); 4) \(\frac{35}{72}\); 5) \(36\); 6) \(\frac{1}{100}\); 7) \(1\frac{1}{6}\); 8) \(24\).