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What can be the maximum number of digits in the repeating bloc

Question

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

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What can be the maximum number of digits in the repeating block of digits in the decimal expansion of

\frac{1}{17}

? Perform the division to check your answer.

9 mins ago

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Text solutionVerified

When

1

is divided by

17

, we get,

\frac{1}{17} = 0. \overline{0588235294117647}

So, the number of digit in the repeating block of digit in the decimal expansion of

\frac{1}{17} = 16

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Question Text	What can be the maximum number of digits in the repeating block of digits in the decimal expansion of $\frac{1}{17}$ ? Perform the division to check your answer.
Answer Type	Text solution:1
Upvotes	151