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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Updated on: 10-Oct-2022

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