Ответ:

  1. \(\frac5{16}\cdot\frac45\cdot\frac9{25}\cdot\frac59=\frac1{20}\).
  2. \(\frac{19}{25}\cdot\frac{40}{57}\cdot\frac5{36}\cdot\frac9{16}=\frac1{108}\).
  3. \(2\frac23\cdot\frac15\cdot\frac34\cdot10=\frac83\cdot\frac15\cdot\frac34\cdot10=4\).
  4. \(18\frac13\cdot1\frac2{11}\cdot1\frac45\cdot15=\frac{55}{3}\cdot\frac{13}{11}\cdot\frac95\cdot15=585\).

Ответ: 1) \(\frac1{20}\); 2) \(\frac1{108}\); 3) 4; 4) 585.