Question 3

waecmaths question: 

Evaluate $\frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}$

Option A: 

$\frac{14}{15}$

Option B: 

$\frac{13}{15}$

Option C: 

$\frac{4}{5}$

waecmaths solution: 

$\begin{align}  & \frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}=\frac{\tfrac{13}{4}\times \tfrac{8}{5}}{\tfrac{34}{3}-\tfrac{16}{3}} \\ & \frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}=\frac{\tfrac{26}{5}}{\tfrac{34-16}{3}}=\frac{\tfrac{26}{5}}{\tfrac{18}{3}} \\ & \frac{3\tfrac{1}{4}\times 1\tfrac{3}{5}}{11\tfrac{1}{3}-5\tfrac{1}{3}}=\frac{26}{5}\times \frac{1}{6}=\frac{13}{15} \\\end{align}$

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