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3 problems match “reciprocal cycles”. Clear

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1. Longest reciprocal cycle below 100 ●●●○○ 50 ptsFind the positive integer $d < 100$ for which the decimal expansion of $\frac{1}{d}$ has the longest recurring cycle.
2. Longest reciprocal cycle below 2000 ●●●●○ 100 ptsFind the value of $d < 2000$ for which $\frac{1}{d}$ has the longest recurring cycle in its decimal fraction part.
3. Longest reciprocal cycle below 2500 ●●●●○ 100 ptsFind the value of $d < 2500$ for which $\frac{1}{d}$ has the longest recurring cycle in its decimal fraction part.