Simplify: 2 1 3 (5 1 2 +3 3 4 ) - Vidyadip

Question

Simplify:
$2 \frac{1}{3} \div\left(5 \frac{1}{2}+3 \frac{3}{4}\right)$

✓

Answer

$2 \frac{1}{3} \div\left(5 \frac{1}{2}+3 \frac{3}{4}\right)=\frac{7}{3} \div\left(\frac{11}{2}+\frac{15}{4}\right) $
$=\frac{7}{3} \div\left(\frac{2 \times 11+1 \times 15}{4}\right) $
$=\frac{7}{3} \div\left(\frac{22+15}{4}\right)=\frac{7}{3} \div\left(\frac{37}{4}\right) $
$=\frac{7}{3} \times \frac{4}{37}=\frac{28}{111}$

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