Simplify the following :
$ \frac{13}{7}+\frac{11}{20}-\frac{17}{20}$
Given :
The given expression is $ \frac{13}{7}+\frac{11}{20}-\frac{17}{20}$.
To do :
We have to simplify the given expression.
Solution :
$ \frac{13}{7}+\frac{11}{20}-\frac{17}{20}$
To simplify the given expression we need to find the LCM of the denominators.
LCM of $7,20,20 = 7\times20 = 140$.
$ \frac{13}{7}+\frac{11}{20}-\frac{17}{20} = \frac{(13\times20+11\times7-17\times7)}{140}$
$= \frac{(260+77-119)}{140}$
$= \frac{(337-119)}{140}$
$= \frac{218}{140}$
$= \frac{109}{70}$.
The simplified value of $ \frac{13}{7}+\frac{11}{20}-\frac{17}{20}$ is $ \frac{109}{70}$
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