Simplify
$2 \frac{4}{5} - \frac{7}{10}$

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Solution

Given:
$2 \frac{4}{5} - \frac{7}{10}$
$= \frac{14}{5} - \frac{7}{10}$
LCM of $5, 10$ is $10$
$= \frac{14}{5} \times \frac{2}{2} - \frac{7}{10}$
$= \frac{28}{10} - \frac{7}{10}$
$= \frac{28 - 7}{10}$
$= \frac{21}{10}$
$= 2 \frac{1}{10}$
$∴ 2 \frac{4}{5} - \frac{7}{10} = 2 \frac{1}{10}$

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