Don't make me REPETEND myself...

[Stuart]

@Stuart

Great post! Woohoo, my routine was able to identify .000000000000001184237892933500309785207112630208333333 as an eventual infinite repetend of 3s.

.000000000000001184237892933500309785207112630208333333

So for fun, let's turn that decimal into a fraction...

To be honest, at first I started getting a little lost at this point... but I eventually got it.

I'm glad you found the info interesting and useful.

So next up is a way to convert decimals to fractions. This is a test but if it works in all cases, it would be easy to set it up as a conversion calculator. Of course for now, I've left out the string math, so it is limited to around a dozen digits before VAL() craps out. That won't be a problem once it is plugged into the string math routine, later...

This works unless there are "unique digits" before the repetend begins.
Here's some info I found about converting repeating decimals to fractions even when there are "unique digits" : 

https://www.basic-mathematics.com/conver...tions.html

(See Example #2)