Simplify (frac{(frac{2}{3} – frac{1}{5}) – frac{1}{3} text{of} frac{2}{5}}{3 – frac{1}{1 frac{1}{2}}})
-
A.
(frac{1}{7}) -
B.
7 -
C.
(frac{1}{3}) -
D.
3
Correct Answer: Option A
Explanation
(frac{2}{3} – frac{1}{5}) = (frac{10 – 3}{15})
= (frac{7}{15})
(frac{1}{3}) Of (frac{2}{5}) = (frac{1}{3}) x (frac{2}{5})
= (frac{2}{15})
((frac{2}{3} – frac{1}{5})) – (frac{1}{3}) of (frac{2}{5})
= (frac{7}{15} – frac{2}{15}) = (frac{1}{3})
3 – (frac{1}{1 frac{1}{2}}) = 3 – (frac{2}{3})
= (frac{7}{3})
(frac{frac{2}{3} – frac{1}{5} text{of} frac{2}{15}}{3 – frac{1}{1 frac{1}{2}}})
= (frac{frac{1}{3}}{frac{7}{3}})
= (frac{1}{3}) x (frac{3}{7})
= (frac{1}{7})