# How do you add or subtract (3/x) + (13)/(x – 11)?

May 14, 2018

$\left(\frac{3}{x}\right) + \frac{13}{x - 11}$ = (16x-33)/(x(x-11)

#### Explanation:

By treating this expression same as normal fraction adding and subtracting:

$\left(\frac{3}{x}\right) + \frac{13}{x - 11} \rightarrow$ common denominator will be $x \times \left(x - 11\right)$

$\left(\frac{3}{x}\right) + \frac{13}{x - 11}$ = $\frac{3 \left(x - 11\right) + 13 x}{x \left(x - 11\right)}$

$\left(\frac{3}{x}\right) + \frac{13}{x - 11}$ = $\frac{3 x - 33 + 13 x}{x \left(x - 11\right)}$

$\left(\frac{3}{x}\right) + \frac{13}{x - 11}$ = (16x-33)/(x(x-11)