Home » Find the reciprocal of (frac{frac{2}{3}}{frac{1}{2} + frac{1}{3}})

Find the reciprocal of (frac{frac{2}{3}}{frac{1}{2} + frac{1}{3}})

Find the reciprocal of (frac{frac{2}{3}}{frac{1}{2} + frac{1}{3}})

  • A.
    (frac{4}{5})
  • B.
    (frac{5}{4})
  • C.
    (frac{2}{5})
  • D.
    (frac{6}{7})
Correct Answer: Option B
Explanation

(frac{2}{3}) = (frac{2}{3})
= (frac{2}{3}) x (frac{6}{5})
= (frac{4}{5})
reciprocal of (frac{4}{5}) = (frac{1}{frac{4}{5}})
= (frac{5}{4})