# How do you simplify (-5/x)-3/4?

Jun 2, 2017

See a solution process below:

#### Explanation:

To add/subtract these fractions they must be over a common denominator, in this case $4 x$. First, we need to multiply each fraction by the appropriate form of $1$ (which doesn't change the value of the fraction) to get each fraction over this common denominator.

$\left(\frac{4}{4} \times - \frac{5}{x}\right) - \left(\frac{x}{x} \times \frac{3}{4}\right) \implies$

$\frac{4 \times - 5}{4 \times x} - \frac{x \times 3}{x \times 4} \implies$

$- \frac{20}{4 x} - \frac{3 x}{4 x}$

Now, we can add the numerators over the common denominator:

$\frac{- 20 - 3 x}{4 x}$