Solve ((frac{27}{125}))-(frac{1}{3}) x ((frac{4}{9}))(frac{1}{2})
-
A.
(frac{10}{9}) -
B.
(frac{9}{10}) -
C.
(frac{2}{5}) -
D.
(frac{12}{125})
Correct Answer: Option A
Explanation
((frac{27}{125}))-(frac{1}{3}) x ((frac{4}{9}))(frac{1}{2})
= ((frac{3^3}{5^3}))-(frac{1}{3})-(frac{1}{3}) x ((frac{3^2}{3^2}))(frac{1}{2})-(frac{1}{2})
= (frac{3^{-1}}{3^{-1}} times frac{2}{3})
= (frac{frac{1}{3}}{frac{1}{5}} times frac{2}{3})
(frac{1}{3} times frac{5}{1} times {2}{3} = frac{10}{9})