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
\(\frac{11m + 4}{10n}\)
Verified Correct Answer: B.
Step-by-Step Mathematical Solution
\(\frac{m}{n} + \frac{(m - 1)}{5n} - \frac{(m - 2)}{10n}\); \(\frac{10m + 2(m - 1) - 1(m - 2)}{10m}\)
= \(\frac{10m + 2m - 2 - m + 2}{10n}\)
= \(\frac{10m + 2m - m - 2 + 2}{10n}\)
= \(\frac{11m}{10n}\)
Source: Myschool Past Questions Archive (Record #36676)