1. Сократите дробь: 1) \(\frac{5a+20m}{5a}\); 2) \(\frac{2p-14q}{3p-21q}\); 3) \(\frac{x^2-36}{4x+24}\); 4) \(\frac{10x^2-2x}{3-15x}\); 5) \(\frac{a^2-64}{a^2+16a+64}\).

1. \(\displaystyle \frac{5a+20m}{5a}=\frac{5(a+4m)}{5a}=\frac{a+4m}{a}\).
2. \(\displaystyle \frac{2p-14q}{3p-21q}=\frac{2(p-7q)}{3(p-7q)}=\frac23\).
3. \(\displaystyle \frac{x^2-36}{4x+24}=\frac{(x-6)(x+6)}{4(x+6)}=\frac{x-6}{4}\).
4. \(\displaystyle \frac{10x^2-2x}{3-15x}=\frac{2x(5x-1)}{3(1-5x)}=-\frac{2x}{3}\).
5. \(\displaystyle \frac{a^2-64}{a^2+16a+64}=\frac{(a-8)(a+8)}{(a+8)^2}=\frac{a-8}{a+8}\).

Ответ: 1) \(\frac{a+4m}{a}\); 2) \(\frac23\); 3) \(\frac{x-6}{4}\); 4) \(-\frac{2x}{3}\); 5) \(\frac{a-8}{a+8}\).