Ответ:

  1. \(\frac56\cdot\frac3{20}=\frac{15}{120}=\frac18\).
  2. \(\frac37\cdot\frac6{11}=\frac{18}{77}\).
  3. \(\frac{10}{11}\cdot\frac{11}{26}=\frac5{13}\).
  4. \(\frac{19}{42}\cdot\frac{21}{38}=\frac{19}{76}=\frac14\).
  5. \(\frac34:\frac{33}{20}=\frac34\cdot\frac{20}{33}=\frac5{11}\).
  6. \(\frac{25}{72}:\frac{45}{63}=\frac{25}{72}\cdot\frac{63}{45}=\frac{35}{72}\).
  7. \(\frac8{15}:24=\frac8{15}\cdot\frac1{24}=\frac1{45}\).
  8. \(8:\frac45=8\cdot\frac54=10\).
  9. \(\frac23\cdot\frac67:\frac47=\frac47\cdot\frac74=1\).
  10. \(\frac{11}{12}:\frac7{24}\cdot\frac{21}{22}=\frac{11}{12}\cdot\frac{24}{7}\cdot\frac{21}{22}=\frac32\).

Ответ: 1) \(\frac18\); 2) \(\frac{18}{77}\); 3) \(\frac5{13}\); 4) \(\frac14\); 5) \(\frac5{11}\); 6) \(\frac{35}{72}\); 7) \(\frac1{45}\); 8) \(10\); 9) \(1\); 10) \(\frac32\).