Mathematics

Simplify: (frac{3}{4} div 1frac{1}{4} times (1frac{1}{2} – frac{2}{3}))

Simplify: (frac{3}{4} div 1frac{1}{4} times (1frac{1}{2} – frac{2}{3}))

  • A.
    7/30
  • B.
    7/24
  • C.
    9/25
  • D.1/2
  • E.
    18/25
Correct Answer: Option D
Explanation

(frac{3}{4} div 1frac{1}{4} times (1frac{1}{2} – frac{2}{3}))

(frac{3}{4} div frac{5}{4} times (frac{9 – 4}{6}))

= (frac{3}{4} times frac{4}{5} times frac{5}{6})

= (frac{1}{2})