Question

How do you simplify `\frac { ( x + 2) + ( x + 2) } { 4x }`?

Answer 1

`(x+2)/(2x)`

Explanation:

`((x+2)+(x+2))/(4x)`

First, combine like terms on the numerator:
`(color(red)x quadcolor(blue)(+quad2) quadcolor(red)(+quadx) quadcolor(blue)(+quad2))/(4x)`

`(2x + 4)/(4x)`

Divide numerator and denominator by `color(magenta)2`:
`(2x+4)/(4x) color(magenta)(-: 2/2)`

So the answer is:
`(x+2)/(2x)`

Hope this helps!

Answer 2

`4/(2x)`

Explanation:

First, you must develop your nominator: `(x+2)+(x+2)`.
You should get `(2x+4)/(4x)`.
Then, you can simplify the `2x` and the `4x`.
You should obtain `4/(2x)` as a final answer.