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 is B

\(\frac{m}{n} + \frac{(m - 1)}{5n} - \frac{(m - 2)}{10n}\); \(\frac{10m + 2(m - 1) - 1(m - 2)}{10m}\)

= \(\frac{10m + 2m - 2 - m + 2}{10n}\)

= \(\frac{10m + 2m - m - 2 + 2}{10n}\)

= \(\frac{11m}{10n}\)