Which is longer?

We see that the fractional part of \(\frac{1}{3}\) is 0.333... It repeats after one digit. Let us say that \(\frac{1}{3}\) has "period" one. We can also say that \(\frac{1}{7} = 0.142857142857142857...\) has "period' six. Which of the following has the longest "period'?

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