Ответ:

  1. \(3\frac27\cdot\frac5{22}=\frac{23}{7}\cdot\frac5{22}=\frac{115}{154}=\frac56\).
  2. \(6\frac38\cdot\frac{16}{17}=\frac{51}{8}\cdot\frac{16}{17}=6\).
  3. \(2\frac13\cdot1\frac15=\frac73\cdot\frac65=\frac{14}{5}=2\frac45\).
  4. \(19\frac12\cdot1\frac59=\frac{39}{2}\cdot\frac{14}{9}=\frac{91}{3}=30\frac13\).
  5. \(2\frac14\cdot2\frac2{27}=\frac94\cdot\frac{56}{27}=\frac{14}{3}=4\frac23\).
  6. \(2\frac8{11}\cdot5\frac2{15}=\frac{30}{11}\cdot\frac{77}{15}=14\).
  7. \(\frac79\cdot1\frac1{14}\cdot5\frac25=\frac79\cdot\frac{15}{14}\cdot\frac{27}{5}=9\).
  8. \(2\frac23\cdot1\frac1{24}\cdot5\frac25=\frac83\cdot\frac{25}{24}\cdot\frac{27}{5}=15\).