Ответ:

  1. \(10:\frac{5}{9}=10\cdot\frac{9}{5}=18\).
  2. \(1:\frac{8}{13}=1\cdot\frac{13}{8}=\frac{13}{8}\).
  3. \(\frac{9}{16}:36=\frac{9}{16}\cdot\frac{1}{36}=\frac{1}{64}\).

Ответ: 1) 18; 2) \(\frac{13}{8}\); 3) \(\frac{1}{64}\).