Answer
$\dfrac{1}{9}$
Work Step by Step
The general formula to find the sum of an infinite Geometric series is given as:
$ S_{n}=\dfrac{a_1}{(1-r)}$
and $ r=\dfrac{1/100}{1/10}=0.1$
Now, $ S_{n}=\dfrac{a_1}{(1-r)}=\dfrac{1/10}{1-0.1}$
Our answer is: $ S_{n}=\dfrac{1/10}{9/10}=\dfrac{1}{9}$
