# How do you combine 11/(5x)-1/(5x)?

Mar 28, 2018

$\frac{2}{x}$

#### Explanation:

$\frac{11}{5 x} - \frac{1}{5 x}$

Since the denominator is constant, you can just combine as such,

$\frac{11 - 1}{5 x}$

Simplify,

$\frac{10}{5 x}$

Divide,

$\frac{2}{x}$

Mar 28, 2018

$\frac{2}{x}$

#### Explanation:

$\frac{11}{5 x} - \frac{1}{5 x}$

first you find the LCM, in this case the LCM is $5 x$

then you divide the LCM with the denominator and multiply it with the numerator;

$\frac{11 - 1}{5 x}$

$\frac{10}{5 x}$

$\frac{2 \times 5}{5 \times x}$

$\frac{2 \times \cancel{5}}{\cancel{5} \times x}$

$\frac{2}{x}$