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:
$\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}$
Find the LCD, which is 12, and adjust them according to that.
$=\frac{\frac{4x-3y}{12}}{\frac{3x+4y}{12}}$
Divide.
$=\frac{\left(4x-3y\right)\cdot \:12}{12\left(3x+4y\right)}$
Cancel the common factor, which is 12.
$=\frac{4x-3y}{3x+4y}$
That would be our answer!

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