Question

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

Answer 1

`(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:

`:.` `(3)/(2x+2)+(x+4)/(2x+2)` = `((3)+(x+4))/(2x+2)`

`=>` `(x+7)/(2x+2)` = `color(blue)((x+7)/(2(x+1)`