Question 31

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waecmaths question: 

Simplify $\tfrac{m}{n}+\tfrac{m-1}{5n}-\tfrac{m-2}{10n}$ where $n\ne 0$

Option A: 

$\tfrac{m-3}{10n}$

Option B: 

$\tfrac{11m}{10n}$

Option C: 

$\tfrac{m+1}{10n}$

Option D: 

$\tfrac{11m+4}{10n}$

waecmaths solution: 

$\begin{align}  & \frac{m}{n}+\frac{m-1}{5n}-\frac{m-2}{10n}=\frac{10m+2(m-1)-(m-2)}{10n} \\ & =\frac{10m+2m-2-m+2}{10n} \\ & =\frac{11m}{10n} \end{align}$

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