Find the difference: 5 8 -7 12 - Vidyadip

Question

Find the difference:
$\frac{5}{8}-\frac{7}{12}$

✓

Answer

$\begin{array}{c|c}2&8,12\\\hline2&4,6\\\hline2&2,3\\\hline3&1,3\\\hline&1,1\end{array}$L.C.M of 2 and 8 = (2 × 2 × 2 × 3) = 24
Now, we have:
$\frac{5}{8}=\frac{5\times3}{8\times3}=\frac{15}{24}$
$\frac{7}{12}=\frac{7\times2}{12\times2}=\frac{14}{24}$
Therefore,
$\frac{5}{8}-\frac{7}{12}$
$=\frac{15}{24}-\frac{14}{24}$
$=\frac{(15-14)}{4}$
$=\frac{1}{24}$

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