Ответ:

  1. \(5\frac{1}{3}:\frac{8}{9}:\frac{1}{3}=\frac{16}{3}\cdot\frac{9}{8}\cdot3=18\).
  2. \(5\frac{1}{3}\cdot(\frac{8}{9}:\frac{1}{3})=\frac{16}{3}\cdot\frac{8}{3}=14\frac{2}{9}\).
  3. \((8\frac{5}{7}-6\frac{5}{6}:1\frac{5}{36}):4\frac{3}{4}=(\frac{61}{7}-6):\frac{19}{4}=\frac{19}{7}\cdot\frac{4}{19}=\frac{4}{7}\).
  4. \((2\frac{5}{6}+2\frac{2}{9}):3\frac{1}{4}-\frac{2}{7}:1\frac{2}{7}=\frac{14}{9}-\frac{2}{9}=\frac{4}{3}\).

Ответ: 1) \(18\); 2) \(14\frac{2}{9}\); 3) \(\frac{4}{7}\); 4) \(\frac{4}{3}\).