Ответ:

  1. \(\frac{5}{7}:\frac{10}{14}=\frac{5}{7}\cdot\frac{14}{10}=1\).
  2. \(\frac{2}{3}:\frac{16}{9}=\frac{2}{3}\cdot\frac{9}{16}=\frac{3}{8}\).
  3. \(\frac{64}{100}:4=\frac{16}{25}\cdot\frac{1}{4}=\frac{4}{25}\).
  4. \(9:\frac{9}{13}=9\cdot\frac{13}{9}=13\).

Ответ: 1) 1; 2) \(\frac{3}{8}\); 3) \(\frac{4}{25}\); 4) 13.