Ответ:

  1. \(\dfrac{3}{4} : \dfrac{5}{7}=\dfrac{3}{4}\cdot\dfrac{7}{5}=\dfrac{21}{20}\).
  2. \(\dfrac{5}{18} : \dfrac{25}{27}=\dfrac{5}{18}\cdot\dfrac{27}{25}=\dfrac{3}{10}\).
  3. \(\dfrac{9}{16} : \dfrac{3}{64}=\dfrac{9}{16}\cdot\dfrac{64}{3}=12\).
  4. \(\dfrac{25}{72} : \dfrac{4}{63}=\dfrac{25}{72}\cdot\dfrac{63}{4}=\dfrac{175}{32}\).

Ответ: 1) \(\dfrac{21}{20}\); 2) \(\dfrac{3}{10}\); 3) \(12\); 4) \(\dfrac{175}{32}\).