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Simplify the following:
$\frac{5}{8}-\frac{7}{12}$
Given :
The given expression is $\frac{5}{8}-\frac{7}{12}$
To do :
We have to simplify the given expression.
Solution :
$\frac{5}{8}-\frac{7}{12}$
LCM of 8 and 12 is,
$8 = 2\times2\times2$
$12 = 2\times2\times3$
LCM of 8 and 12 $= 2\times2\times2\times3 = 24$
$\frac{5}{8}-\frac{7}{12} = \frac{(5\times3-7\times2)}{24}$
$= \frac{(15-14)}{24}$
$= \frac{1}{24}$.
Therefore, the value of $\frac{5}{8}-\frac{7}{12}$ is $\frac{1}{24}$.
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