# 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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