Question

What is the simplified form of ?

Answer 1

Numerator: (4x-3y) / 12

Denominator: (3x+4y) / 12

Therefore, the final answer will be Numerator / Denominator

You will get: (4x-3y) / (3x+4y)

Answer 2

Let's set it up like this:

`((x)/(3)-(y)/(4))/((x)/(4)+(y)/(3))`
Find the LCD, which is 12, and adjust them according to that.

`=((4x-3y)/(12))/((3x+4y)/(12))`
Divide.

`=(\left(4x-3y\right)\cdot \:12)/(12\left(3x+4y\right))`
Cancel the common factor, which is 12.

`=(4x-3y)/(3x+4y)`
That would be our answer!

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish