Simplify (frac{m}{n} + frac{(m – 1)}{5n} = frac{(m – 2)}{10n}) where n (neq) 0
-
A.
(frac{m – 3}{10n}) -
B.
(frac{11m}{10n}) -
C.
(frac{m + 1}{10n}) -
D.
(frac{11m + 4}{10n})
Correct Answer: Option B
Explanation
(frac{m}{n} + frac{(m – 1)}{5n} – frac{(m – 2)}{10n}); (frac{10m + 2(m – 1) – 1(m – 2)}{10m})
= (frac{10m + 2m – 2 – m + 2}{10n})
= (frac{10m + 2m – m – 2 + 2}{10n})
= (frac{11m}{10n})