Question

What is the simplified form of the quantity x over 3 minus y over 4 all over the quantity x over 4 plus y over 3?

Answer 1

The answer is (4x - 3y) / (3x + 4y)

Answer 2

First we write the expression:
((x / 3) - (y / 4)) / ((x / 4) + (y / 3))
We multiply the numerator and the denominator of the expression by: (4) * (3).
We have then:
(((4) * (3)) * ((x / 3) - (y / 4))) / (((4) * (3)) * ((x / 4) + (y / 3)) )
We now rewrite the expression:
(4x - 3y) / (3x + 4y)
The simplified expression is:
(4x - 3y) / (3x + 4y)