Mathegoras

Arithmetic › Decimals and repeating decimals › Decimal periods

Longest reciprocal cycle below 100

High school · ●●●○○ 50 pts

Find the positive integer d<100d < 100 for which the decimal expansion of 1d\frac{1}{d} has the longest recurring cycle.

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reciprocal cyclesfull reptend primesdecimal expansionmultiplicative order