Ответ:

  1. \(\frac{2}{3}+\frac{1}{2}=\frac{4}{6}+\frac{3}{6}=\frac{7}{6}=1\frac{1}{6}\).
  2. \(6-\frac{1}{20}=\frac{120}{20}-\frac{1}{20}=\frac{119}{20}=5\frac{19}{20}\).
  3. \(3\frac{7}{16}+8\frac{3}{4}=11+\frac{7}{16}+\frac{12}{16}=11\frac{19}{16}=12\frac{3}{16}\).
  4. \(2\frac{9}{16}-\frac{3}{8}=2\frac{9}{16}-\frac{6}{16}=2\frac{3}{16}\).
  5. \(\frac{5}{12}\cdot\frac{4}{5}=\frac{1}{3}\).
  6. \(4\frac{1}{8}\cdot\frac{3}{10}=\frac{33}{8}\cdot\frac{3}{10}=\frac{99}{80}=1\frac{19}{80}\).
  7. \(\frac{1}{9}:\frac{1}{6}=\frac{1}{9}\cdot6=\frac{2}{3}\).
  8. \(2\frac{1}{6}:11=\frac{13}{6}\cdot\frac{1}{11}=\frac{13}{66}\).

Ответ: 1) \(1\frac{1}{6}\); 2) \(5\frac{19}{20}\); 3) \(12\frac{3}{16}\); 4) \(2\frac{3}{16}\); 5) \(\frac{1}{3}\); 6) \(1\frac{19}{80}\); 7) \(\frac{2}{3}\); 8) \(\frac{13}{66}\).