Ответ:

  1. \(\left(\frac{6}{9}+\frac{3}{9}\right)\cdot\frac{8}{13}=1\cdot\frac{8}{13}=\frac{8}{13}\).
  2. \(\left(\frac{5}{11}-\frac{2}{11}\right)\cdot\frac{11}{3}=\frac{3}{11}\cdot\frac{11}{3}=1\).
  3. \(2\cdot\frac{1}{8}+\frac{7}{12}\cdot\frac{3}{7}=\frac{1}{4}+\frac{1}{4}=\frac{1}{2}\).
  4. \(\left(\frac{2}{3}\right)^2+\frac{13}{21}\cdot\frac{7}{26}-\frac{5}{18}=\frac{4}{9}+\frac{1}{6}-\frac{5}{18}=\frac{8+3-5}{18}=\frac{1}{3}\).
  5. \(\frac{2}{5}\cdot\left(\frac{11}{14}-\frac{3}{7}\right)=\frac{2}{5}\cdot\frac{5}{14}=\frac{1}{7}\).
  6. \(9\frac{3}{7}\cdot\frac{5}{22}=\frac{66}{7}\cdot\frac{5}{22}=\frac{15}{7}=2\frac{1}{7}\).
  7. \(6\frac{3}{8}\cdot\frac{16}{17}=\frac{51}{8}\cdot\frac{16}{17}=6\).
  8. \(2\frac{1}{3}\cdot1\frac{1}{5}=\frac{7}{3}\cdot\frac{6}{5}=\frac{14}{5}=2\frac{4}{5}\).

Ответ: 1) \(\frac{8}{13}\); 2) 1; 3) \(\frac{1}{2}\); 4) \(\frac{1}{3}\); 5) \(\frac{1}{7}\); 6) \(2\frac{1}{7}\); 7) 6; 8) \(2\frac{4}{5}\).