Simplify ((frac{3}{x} + frac{15}{2y}) div frac{6}{xy})
-
A.
(frac{2y – 5x}{4}) -
B.
(frac{9(2x – 5x)}{x^2y^2}) -
C.
(frac{5x – 2y}{2}) -
D.
(frac{c^2y^2}{18y – 45x}) -
E.
(frac{4}{2y – 5x})
Correct Answer: Option A
Explanation
((frac{3}{x} – frac{15}{2y}) div frac{6}{xy})
= ((frac{6y – 15x}{2xy}) div frac{6}{xy})
= (frac{6y – 15x}{2xy} times frac{xy}{6})
= (frac{3(2y – 5x)}{2xy} times frac{xy}{6})
= (frac{2y – 5x}{4})