Подайте у вигляді дробу вираз: 1) $$ \frac{7k}{18p} - \frac{4k}{18p} $$ 2) $$\frac{a-b}{2b} - \frac{a}{2b}$$ 3) $$ -\frac{a-12b}{27a} + \frac{a+15b}{27a} $$ 4) $$\frac{x-7y}{xy} - \frac{x-4y}{xy}$$ 5) $$\frac{10a+6b}{11a^3} - \frac{6b-a}{11a^3}$$ 6) $$\frac{x^2-xy}{x^2y} + \frac{2xy-3x^2}{x^2y}$$

Давайте спростимо кожний вираз:

1. $$\frac{7k}{18p} - \frac{4k}{18p} = \frac{7k - 4k}{18p} = \frac{3k}{18p} = \frac{k}{6p}$$
2. $$\frac{a-b}{2b} - \frac{a}{2b} = \frac{a - b - a}{2b} = \frac{-b}{2b} = -\frac{1}{2}$$
3. $$-\frac{a-12b}{27a} + \frac{a+15b}{27a} = \frac{-(a-12b) + (a+15b)}{27a} = \frac{-a+12b+a+15b}{27a} = \frac{27b}{27a} = \frac{b}{a}$$
4. $$\frac{x-7y}{xy} - \frac{x-4y}{xy} = \frac{x - 7y - (x - 4y)}{xy} = \frac{x - 7y - x + 4y}{xy} = \frac{-3y}{xy} = -\frac{3}{x}$$
5. $$\frac{10a+6b}{11a^3} - \frac{6b-a}{11a^3} = \frac{10a + 6b - (6b - a)}{11a^3} = \frac{10a + 6b - 6b + a}{11a^3} = \frac{11a}{11a^3} = \frac{1}{a^2}$$
6. $$\frac{x^2-xy}{x^2y} + \frac{2xy-3x^2}{x^2y} = \frac{x^2 - xy + 2xy - 3x^2}{x^2y} = \frac{-2x^2 + xy}{x^2y} = \frac{x(-2x + y)}{x^2y} = \frac{y - 2x}{xy}$$

Відповіді:

1. $$\frac{k}{6p}$$
2. $$-\frac{1}{2}$$
3. $$\frac{b}{a}$$
4. $$-\frac{3}{x}$$
5. $$\frac{1}{a^2}$$
6. $$\frac{y - 2x}{xy}$$