(frac{frac{2}{3} div frac{4}{5}}{frac{1}{4} + frac{3}{5} – frac{1}{3}})
-
A.
(frac{31}{50}) -
B.
(frac{20}{31}) -
C.
(frac{31}{20}) -
D.
(frac{50}{31})
Correct Answer: Option D
Explanation
(frac{frac{2}{3} div frac{4}{5}}{frac{1}{4} + frac{3}{5} – frac{1}{3}})
(frac{2}{3} div frac{4}{5} = frac{2}{3} times frac{5}{4})
= (frac{5}{6})
(frac{1}{4} + frac{3}{5} – frac{1}{3} = frac{15 + 36 – 20}{60})
= (frac{31}{60})
(therefore frac{frac{2}{3} div frac{4}{5}}{frac{1}{4} + frac{3}{5} – frac{1}{3}} = frac{5}{6} div frac{31}{60})
= (frac{5}{6} times frac{60}{31})
= (frac{50}{31})
There is an explanation video available below.