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When converting $\frac{31}{11111}$ to a decimal, the decimal turns out to be a repeating decimal. How many digits repeat in this repeating decimal? For example, if you get the repeating decimal $0.\overline{123},$ then your answer should be $3,$ and if you get $0.436\overline{7},$ your answer should be $1.$

 Jan 15, 2020
 #1
avatar+109739 
+1

\(\frac{31}{11111} \)

 

equals

 

0.0027900279(00279)

 

So....the repeating string is 5 digits in length

 

 

cool cool cool

 Jan 15, 2020

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