Question
Simplify:$\frac{5}{8}+\frac{2}{5}+\frac{3}{4}$
✓
Answer
Given: $\frac{5}{8}+\frac{2}{5}+\frac{3}{4}$
$=\frac{5\times5}{8\times5}+\frac{2\times8}{5\times8}+\frac{3\times10}{4\times10}$
$($because $LCM$ of $8, 5$ and $4$ is $40)$
$=\frac{25}{40}+\frac{16}{40}+\frac{30}{40}$
$=\frac{25+16+30}{40}$
$=\frac{71}{40}$
$=\frac{5\times5}{8\times5}+\frac{2\times8}{5\times8}+\frac{3\times10}{4\times10}$
$($because $LCM$ of $8, 5$ and $4$ is $40)$
$=\frac{25}{40}+\frac{16}{40}+\frac{30}{40}$
$=\frac{25+16+30}{40}$
$=\frac{71}{40}$
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