• wumpoooo@lemmy.world
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    1 year ago

    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

    • quicksand@lemmy.world
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      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.