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

Question

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

✓

Answer

$4 \frac{2}{3} \div\left(3-\frac{1}{2}\right)+\left(\frac{2}{5} \div 1 \frac{1}{5}\right) $
$=\frac{14}{3} \div\left(3-\frac{1}{2}\right)+\left(\frac{2}{5} \div \frac{6}{5}\right) $
$=\frac{14}{3} \div\left(\frac{6-1}{2}\right)+\left(\frac{2}{5} \times \frac{5}{6}\right) $
$=\frac{14}{3} \div\left(\frac{5}{2}\right)+\frac{1}{3} $
$=\frac{14}{3} \times \frac{2}{5}+\frac{1}{3} $
$=\frac{28}{15}+\frac{1}{3}=\frac{28+5}{15} $
$=\frac{33}{15}=\frac{11}{55}=2 \frac{1}{5}$

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