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Tom is trying to write 3 /47 as a decimal. He used long division and divided until he got 0.0638297872, at which point he stopped. Since the decimal doesn't seem to terminate or repeat, he concluded that 3/47 is not rational. Do you agree or disagree? Why?

 Sep 22, 2015
 #1
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It's actually a repeating decimal with a length of 46 digits......this is the max length of repeating digits for a fraction with a denominator of 47

 

 

cool cool cool

 Sep 22, 2015
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thanks

 Sep 22, 2015
 #3
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Cphil

 

Great answer.  How do you know?

 

Al

 Oct 4, 2016

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