Add:$\frac{1}{10} +\frac{1}{20} +\frac{1}{40} +\frac{1}{100}$.

Given:

$\frac{1}{10} +\frac{1}{20} +\frac{1}{40} +\frac{1}{100}$.

To do:

We have to find the given sum.

Solution:

To find the given sum, we have to first find the LCM of the denominators.
LCM of 10, 20, 40, 100 is 200.

Therefore,

$\frac{1}{10} +\frac{1}{20} +\frac{1}{40} +\frac{1}{100}=\frac{1\times20+1\times10+1\times5+1\times2}{200}$

$=\frac{20+10+5+2}{200}$

$=\frac{37}{200}$

Hence, $\frac{1}{10} +\frac{1}{20} +\frac{1}{40} +\frac{1}{100}=\frac{37}{200}$.

Tutorialspoint

Updated on: 10-Oct-2022

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