# How do you simplify (3)/(2x+2)+(x+4)/(2x+2)?

Jan 25, 2017

(x+7)/(2(x+1)

#### Explanation:

Both fractions have the same denominator i.e color(green)(2x+2 so we can add them as if they were normal fractions:

$\therefore$ $\frac{3}{2 x + 2} + \frac{x + 4}{2 x + 2}$ = $\frac{\left(3\right) + \left(x + 4\right)}{2 x + 2}$

$\implies$ $\frac{x + 7}{2 x + 2}$ = color(blue)((x+7)/(2(x+1)