Question
Simplify: $3 \frac{3}{7} \div 1 \frac{1}{14}$

Answer


$\begin{aligned} & 3 \frac{3}{7} \div 1 \frac{1}{14} \\ & =\frac{24}{7} \times \frac{14}{15}=\frac{24 \times 14}{7 \times 15} \\ & =\frac{336}{105}=\frac{336 \div 21}{105 \div 21}(\mathrm{HCF} \text { of } 336 \text { and } 105=21) \\ & =\frac{16}{5}=3 \frac{1}{5}\end{aligned}$

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