Question
Simplify:
$2 \frac{2}{3} \times 3 \frac{1}{2} \div 2 \frac{4}{9}$

Answer

$2 \frac{2}{3} \times 3 \frac{1}{2} \div 2 \frac{4}{9}=\frac{8}{3} \times \frac{7}{2} \div \frac{22}{9}$
$=\frac{8}{3} \times \frac{7}{2} \times \frac{9}{22}=\frac{2 \times 7 \times 3}{11}=\frac{42}{11}=3 \frac{9}{11}$

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