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Simplify frac m n frac m - 1 5n frac m - 2 10n ... - WAEC Mathematics 2011 Question

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
\(\frac{11m + 4}{10n}\)
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Correct Option: 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})

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