How do you simplify 5/(4x)+1/(10x)?

May 29, 2017

See a solution process below:

Explanation:

To add these two fractions they must be over common denominators.

$\frac{5}{4 x} + \frac{1}{10 x} \implies \left(\frac{\textcolor{red}{5}}{\textcolor{red}{5}} \times \frac{5}{4 x}\right) + \left(\frac{\textcolor{b l u e}{2}}{\textcolor{b l u e}{2}} \times \frac{1}{10 x}\right) \implies$

$\frac{25}{20 x} + \frac{2}{20 x}$

Now, we can add the two fractions:

$\frac{25}{20 x} + \frac{2}{20 x} \implies \frac{25 + 2}{20 x} \implies$

$\frac{27}{20 x}$