Simplify \(\frac{m}{n} + \frac{(m - 1)}{5n} = \frac{(m - 2)}{10n}\) where n \(\neq\) 0...
MATHEMATICS
WAEC 2011
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: B. \(\frac{11m}{10n}\)
Explanation
\(\frac{m}{n} + \frac{(m - 1)}{5n} - \frac{(m - 2)}{10n}\); \(\frac{10m + 2(m - 1) - 1(m - 2)}{10m}\)
= \(\frac{10m + 2m - 2 - m + 2}{10n}\)
= \(\frac{10m + 2m - m - 2 + 2}{10n}\)
= \(\frac{11m}{10n}\)
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