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

Jul 29, 2016

=$\frac{4 {x}^{2} + 3}{2 {x}^{3}}$

#### Explanation:

Treat algebraic fractions the same as arithmetic fractions.

Find the LCD first and make equivalent fractions.

$\frac{2}{x} + \frac{3}{2 {x}^{3}} \text{ } L C D = 2 {x}^{3}$

$\frac{2}{x} \times \frac{2 {x}^{2}}{2 {x}^{2}} + \frac{3}{2 {x}^{3}}$

=$\frac{4 {x}^{2} + 3}{2 {x}^{3}}$