Mathematics

Simplify (frac{3}{5} div left(frac{2}{7} times frac{4}{3} div frac{4}{9}right))

Simplify (frac{3}{5} div left(frac{2}{7} times frac{4}{3} div frac{4}{9}right))
  • A.
    (frac{4}{5})
  • B.
    (frac{7}{10})
  • C.
    (frac{6}{6})
  • D.
    (frac{21}{6})
Correct Answer: Option B
Explanation

(frac{3}{5} div left(frac{2}{7} times frac{4}{3} div frac{4}{9}right)\
=frac{3}{5} div left(frac{2}{7} times frac{4}{3} times frac{9}{4}right)\
=frac{3}{5} div frac{6}{7}\
=frac{3}{5} times frac{7}{6}\
=frac{7}{10})