this post was submitted on 17 Jul 2023
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[โ€“] wumpoooo 2 points 1 year ago (1 children)

Maybe a stupid question, but can you even divide a number with infinite decimals?

I know you can find ratios of other infinitely repeating numbers by dividing them by 9,99,999, etc., divide those, and then write it as a decimal.

For example 0.17171717.../3

(17/99)/3 = 17/(99*3) = 17/297

but with 9 that would just be... one? 9/9=1

That in itself sounds like a basis for a proof but idk

[โ€“] quicksand 2 points 1 year ago

Yes that's essentially the proof I learned in high school. 9/9=1. I believe there's multiple ways to go about it.