5.  What can the maximum number of digits be in the repeating block of digits in the decimal expansion of \frac{1}{17} ? Perform the division to check your answer.

Answers (1)

We can rewrite  \frac{1}{17}  as 

\Rightarrow \frac{1}{17} = 0.05882352941176470588235294117647= 0.\overline{0588235294117647}
Therefore, there are total  16  number of digits be in the repeating block of digits in the decimal expansion of \frac{1}{17}

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