Решение №6

1. $$\frac{4a + 12b}{16ab} = \frac{4(a + 3b)}{16ab} = \frac{a + 3b}{4ab}$$
2. $$\frac{5x - 5y}{7(x - y)} = \frac{5(x - y)}{7(x - y)} = \frac{5}{7}$$
3. $$\frac{3m(x + 2)}{x^2 + 2x} = \frac{3m(x + 2)}{x(x + 2)} = \frac{3m}{x}$$
4. $$\frac{ax - a}{a} = \frac{a(x - 1)}{a} = x - 1$$
5. $$\frac{y}{y^2 - yx} = \frac{y}{y(y - x)} = \frac{1}{y - x}$$
6. $$\frac{2x - 6y}{5x - 15y} = \frac{2(x - 3y)}{5(x - 3y)} = \frac{2}{5}$$
7. $$\frac{a + 2b}{a^2 + 2ab} = \frac{a + 2b}{a(a + 2b)} = \frac{1}{a}$$
8. $$\frac{2x^2 - 10xy}{x - 5y} = \frac{2x(x - 5y)}{x - 5y} = 2x$$