д) \(\frac{5x+5y}{3(x+y)}\); е) \(\frac{7x-14y}{3x-6y}\); ж) \(\frac{3a-9c}{6c-2a}\); з) \(\frac{2(x-y)}{3(-x(y-x))}\). Сократите дроби.

1. \(\frac{5x+5y}{3(x+y)}=\frac{5(x+y)}{3(x+y)}=\frac{5}{3}\).
2. \(\frac{7x-14y}{3x-6y}=\frac{7(x-2y)}{3(x-2y)}=\frac{7}{3}\).
3. \(\frac{3a-9c}{6c-2a}=\frac{3(a-3c)}{2(3c-a)}=-\frac{3}{2}\).
4. \(\frac{2(x-y)}{3(-x(y-x))}=\frac{2(x-y)}{3x(x-y)}=\frac{2}{3x}\).

Ответ: д) \(\frac{5}{3}\); е) \(\frac{7}{3}\); ж) \(-\frac{3}{2}\); з) \(\frac{2}{3x}\).