Simplify ((frac{3}{4}) of (frac{4}{9}) (div) 9(frac{1}{2})) (div) 1(frac{5}{19})
-
A.
(frac{1}{5}) -
B.
(frac{1}{4}) -
C.
(frac{1}{36}) -
D.
(frac{1}{25})
Correct Answer: Option C
Explanation
((frac{3}{4}) of (frac{4}{9}) (div) 9(frac{1}{2})) (div) 1(frac{5}{19})
Applying the rule of BODMAS, we have:
((frac{3}{4}) x (frac{4}{9}) (div)(frac{19}{2})) (div)(frac{24}{19})
((frac{3}{9}) (div) (frac{19}{2})) (div)(frac{24}{19}) = ((frac{3}{9}) x (frac{2}{19})) (div)(frac{24}{19})
((frac{1}{3}) x (frac{2}{19})) (div)(frac{24}{19})
(frac{1}{3}) x (frac{2}{19}) x (frac{19}{24})
= (frac{1}{36})