Question
Find
$3 \frac{1}{2} \div\frac{8}{3}$

Answer

We have, $3 \frac{1}{2} \div\frac{8}{3}=\left(\frac{3 \times 2+1}{2}\right) \div\frac{8}{3}=\left(\frac{6+1}{2}\right) \times \frac{3}{8}$
$
=\frac{7}{2} \times \frac{3}{8}=\frac{7 \times 3}{2 \times 8}=\frac{21}{16}
$

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