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When the fraction 228/47 is expressed in base 12, is it terminating or repeating?

 Jun 20, 2021
 #1
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Repeating.  

 

While I have little experience with fractions within bases, the base converter calculator expressed 228/47 as 4.A2677AB8B29851339B5A574A2677AB8B29851339B5A574A0

 

With the proper highlights, we can find where it repeats

 

4.A2677AB8B29851339B5A574A2677AB8B29851339B5A574A2677AB8B29851339B5A574A2677AB8B29851339B5A57, and so on.  

 

Yeah, I know this was cheating, but at least it will help.  :)

 Jun 20, 2021

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