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