Didn't know whether this should go here or in the the fractions forums but I learned wishful thinking in my geometry class so yeah.

Anyways the problem goes like this (sorry for no visual I'll try my best)

...2......2......2

1-3+ 1-4+ 1-4

The denominator changes by one all the way up to 100. Is there any way to use wishful thinking to find the sum up to the 1- 2/100 ?