Question
Simplify:$\frac{5}{8}+\frac{3}{4}-\frac{7}{12}$
✓
Answer
We have:$\frac{5}{8}+\frac{3}{4}-\frac{7}{12}$
$\begin{array}{c|c}2&4,8,12\\\hline2&2,4,6\\\hline2&1,2,3\\\hline3&1,1,3\\\hline&1,1,1\end{array}$
$L.C.M.$ of $4, 8$ and $12 = (2 \times 2 \times 2 \times 3) = 24$
$=\frac{(15+18-14)}{24}$
$\Big(\frac{24}{8}=3,3\times5=15\Big)$
$\Big(\frac{24}{4}=6,6\times3=18\Big)$ and $\Big(\frac{24}{12}=2,2\times7=14\Big)$
$=\frac{(33-14)}{24}$
$=\frac{19}{24}$
$\begin{array}{c|c}2&4,8,12\\\hline2&2,4,6\\\hline2&1,2,3\\\hline3&1,1,3\\\hline&1,1,1\end{array}$
$L.C.M.$ of $4, 8$ and $12 = (2 \times 2 \times 2 \times 3) = 24$
$=\frac{(15+18-14)}{24}$
$\Big(\frac{24}{8}=3,3\times5=15\Big)$
$\Big(\frac{24}{4}=6,6\times3=18\Big)$ and $\Big(\frac{24}{12}=2,2\times7=14\Big)$
$=\frac{(33-14)}{24}$
$=\frac{19}{24}$
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