need help with simplifying?

Question

x+2/x / x-2/3x

Answer 1

(x+2/x) / (x-2/3x)

First get rid of the fractions. You can do this by multiplying this problem by 3x/3x.

We will break the problem up to make it more clear. Lets do the top first.

3x * (x + 2/x)
3x^2 + 6x/x
3x^2 + 6 done

Lets do the bottom
3x * (x - 2/3x)
3x^2 - 6x/3x
3x^2 - 2 done

Now we have
(3x^2 + 6) / (3x^2 - 2)

The hard part is figuring out that 3x/3x will remove all of the fractions.

Feel free to email me more questions
HRojas

Answer 2

(x+2/x) / (x-2/3x) =
x+2/x * 3x/x-2 (we flip the 2nd to make it multiplication)
and now u can start simplifying.

good luck.

hey hernan, i think we ought to let her try the problem on her own, but we could prompt her.