Evaluate (frac{1}{3} div [frac{5}{7}(frac{9}{10} -1 + frac{3}{4})])
-
A.
(frac{28}{39}) -
B.
(frac{13}{39}) -
C.
(frac{39}{28}) -
D.
(frac{84}{13})
Correct Answer: Option A
Explanation
(frac{1}{3} div [frac{5}{7}(frac{9}{10} -1 + frac{3}{4})])
(frac{1}{3} div [frac{5}{7}(frac{9}{10} – frac{10}{10} + frac{3}{4})])
= (frac{1}{3} div [frac{5}{7}(frac{-1}{10} + frac{3}{4})])
= (frac{1}{3} div [frac{5}{7}(frac{-2 + 15}{20})])
= (frac{1}{3} div [frac{5}{7} times frac{13}{20}])
(frac{1}{3} + [frac{13}{28}]) = (frac{1}{3} times frac{28}{13})
= (frac{28}{39})