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

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)