# How do you simplify 2/x+3/(x-1)?

Jun 13, 2016

$\frac{2}{x} + \frac{3}{x - 1} = \frac{5 x - 2}{x \left(x - 1\right)}$

#### Explanation:

$\frac{2}{x} + \frac{3}{x - 1}$

= $\frac{2 \left(x - 1\right)}{x \left(x - 1\right)} + \frac{3 \times x}{\left(x - 1\right) \times x}$

= $\frac{2 x - 2}{x \left(x - 1\right)} + \frac{3 x}{x \left(x - 1\right)}$

= $\frac{2 x - 2 + 3 x}{x \left(x - 1\right)}$

= $\frac{5 x - 2}{x \left(x - 1\right)}$