Question 1

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waecmaths question: 

Simplify $(3\tfrac{1}{2}+4\tfrac{1}{3})\div (\tfrac{5}{6}-\tfrac{2}{3})$

Option A: 

Option B: 

8 ½

Option C: 

35

Option D: 

47

waecmaths solution: 

$\begin{align}  & (3\tfrac{1}{2}+4\tfrac{1}{3})\div (\tfrac{5}{6}-\tfrac{2}{3})=(\tfrac{7}{2}+\tfrac{13}{3})\div (\tfrac{5}{6}-\tfrac{2}{3}) \\ & =(\tfrac{21+26}{6})\div (\tfrac{5-4}{6}) \\ & =\tfrac{47}{6}\div \tfrac{1}{6}=\tfrac{47}{6}\times \tfrac{6}{1}=47 \end{align}$

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