Let's set it up like this:
[tex]\frac{\frac{x}{3}-\frac{y}{4}}{\frac{x}{4}+\frac{y}{3}}[/tex]
Find the LCD, which is 12, and adjust them according to that.
[tex]=\frac{\frac{4x-3y}{12}}{\frac{3x+4y}{12}}[/tex]
Divide.
[tex]=\frac{\left(4x-3y\right)\cdot \:12}{12\left(3x+4y\right)}[/tex]
Cancel the common factor, which is 12.
[tex]=\frac{4x-3y}{3x+4y}[/tex]
That would be our answer!
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
