5. Сократить дроби: 1) 16m²p/(20mb); 2) ab²(x+2)/(a²b(x+2)²); 3) (5m−15)/10; 4) (a+2b)/(a²+2ab).

1. \(\frac{16m^2p}{20mb}=\frac{4mp}{5b}\).
2. \(\frac{ab^2(x+2)}{a^2b(x+2)^2}=\frac{b}{a(x+2)}\).
3. \(\frac{5m-15}{10}=\frac{5(m-3)}{10}=\frac{m-3}{2}\).
4. \(\frac{a+2b}{a^2+2ab}=\frac{a+2b}{a(a+2b)}=\frac{1}{a}\).

Ответ: 1) \(\frac{4mp}{5b}\); 2) \(\frac{b}{a(x+2)}\); 3) \(\frac{m-3}{2}\); 4) \(\frac{1}{a}\).