Mathematics

Simplify ((frac{3}{x} + frac{15}{2y}) div frac{6}{xy})

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})