# How do you simplify (4x)/9 + (x-10)/9?

##### 1 Answer
Aug 14, 2016

$\frac{5 \left(x - 2\right)}{9}$

#### Explanation:

Because both terms have the same denominator, the terms can be added together ( numerator or top part)

If the denominators were not the same it would be necessary to find a common denominator so the terms could be added.

When you add the two numerators you get

$\frac{4 x + \left(x - 10\right)}{9} = \frac{5 x - 10}{9}$

$5 x - 10$ has a common factor of 5. Use the reverse distribution principle to factor 5 out of both terms

= $\frac{5 \left(x - 2\right)}{9}$