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# What can the maximum number of digits be in the repeating block of digits in the decimal expansion of 1/17 ? Perform the division to check your answer.

5.  What can the maximum number of digits be in the repeating block of digits in the decimal expansion of $\dpi{80} \frac{1}{17}$ ? Perform the division to check your answer.

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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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