1.40. Сократите рациональную дробь, используя алгоритм:

Решение:

1. \(\frac{4(x-y)}{8x} = \frac{x-y}{2x}\)
2. \(\frac{15m}{3(m+n)} = \frac{5m}{m+n}\)
3. \(\frac{3a^2(x-1)}{5a(x-1)} = \frac{3a}{5}\)
4. \(\frac{5(c-3)}{(c-3)^2} = \frac{5}{c-3}\)
5. \(\frac{8(a+b)}{3(a+b)} = \frac{8}{3}\)
6. \(\frac{7a(b+4)^3}{(b+4)^2} = 7a(b+4)\)

Ответ: \(\frac{x-y}{2x}\), \(\frac{5m}{m+n}\), \(\frac{3a}{5}\), \(\frac{5}{c-3}\), \(\frac{8}{3}\), \(7a(b+4)\).