Question

Which expression is equivalent to the following complex fraction?

Answer 1

(-2y + 5x) (3x - 2y)
= ---------------- / -----------------------
xy xy

(-2y + 5x) xy
= ---------------- * -------------------
xy (3x - 2y)

(-2y + 5x)
= ---------------
(3x - 2y)

answer is A. first one

Answer 2

ANSWER

The correct answer is option A.

Step-by-step explanation

We want to simplify the expression,


`( ( - 2)/(x) + (5)/(y) )/( (3)/(y) - (2)/(x) )`


We collect LCM to obtain,


`( ( - 2y + 5x)/(xy) )/( (3x - 2y)/(xy) )`


We change the middle bar in to normal division sign to obtain,



`( - 2y + 5x)/(xy) / (3x - 2y)/(xy)`


We now multiply the first fraction by the reciprocal of the second fraction to obtain,.

`( - 2y + 5x)/(xy) * (xy)/(3x - 2y)`


We cancel out common factors to obtain,


`( - 2y + 5x)/(3x - 2y)`