Answer
$\dfrac{83}{99}$
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{83/10,000}{83/100}=0.01$
Now, $ S_{n}=\dfrac{a_1}{(1-r)}=\dfrac{83/100}{1-0.01}$
Our answer is: $ S_{n}=\dfrac{83/100}{99/100}=\dfrac{83}{99}$
