Question
Find the sum: $\frac{4}{15}+\frac{17}{20}$
✓
Answer
We have, $L.C.M.$ of $15$ and $20 = (3 \times 5 \times 2 \times 2) = 60$
$\begin{array}{c|c}5&15,20\\\hline3&3,4\\\hline2&1,4\\\hline2&1,2\\\hline&1,1\end{array} $
Therefore, $\frac{4}{15}+\frac{17}{20}$ $=\frac{(16+51)}{60}$
$\Big(\frac{60}{15}=4,4\times4=16\Big)$ and $\Big(\frac{60}{20}=3,17\times3=51\Big)$
$=\frac{67}{60}$
$=1\frac{7}{60}$
$\begin{array}{c|c}5&15,20\\\hline3&3,4\\\hline2&1,4\\\hline2&1,2\\\hline&1,1\end{array} $
Therefore, $\frac{4}{15}+\frac{17}{20}$ $=\frac{(16+51)}{60}$
$\Big(\frac{60}{15}=4,4\times4=16\Big)$ and $\Big(\frac{60}{20}=3,17\times3=51\Big)$
$=\frac{67}{60}$
$=1\frac{7}{60}$
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