Ответ:

  1. \(5\frac{1}{3}:\frac{8}{9}:\frac{1}{3}=\frac{16}{3}\cdot\frac{9}{8}\cdot3=18\).
  2. \(5\frac{1}{3}:\left(\frac{8}{9}:\frac{1}{3}\right)=\frac{16}{3}:\frac{8}{3}=2\).
  3. \(\left(8\frac{5}{7}-6\frac{5}{6}:1\frac{5}{36}\right):4\frac{3}{4}=\left(\frac{61}{7}-\frac{41}{6}:\frac{41}{36}\right):\frac{19}{4}=\left(\frac{61}{7}-6\right):\frac{19}{4}=\frac{19}{7}\cdot\frac{4}{19}=\frac{4}{7}\).
  4. \(\left(2\frac{5}{6}+2\frac{2}{9}\right):3\frac{1}{4}-\frac{2}{7}:1\frac{2}{7}=\frac{91}{18}:\frac{13}{4}-\frac{2}{7}:\frac{9}{7}=\frac{14}{9}-\frac{2}{9}=\frac{4}{3}\).

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