waecmaths question:
Simplify $(3\tfrac{1}{2}+4\tfrac{1}{3})\div (\tfrac{5}{6}-\tfrac{2}{3})$
Option A:
1¼
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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