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in a fraction with a denominator of 15, which values could the numerator be to produce a repeating decimal

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The numerator could be any value that is not divisible by 3 or 5. For example, 1/15 = 0.0666... (repeating 6s), 2/15 = 0.1333... (repeating 3s), 4/15 = 0.2666... (repeating 6s), 7/15 = 0.4666... (repeating 6s), 8/15 = 0.5333... (repeating 3s), 11/15 = 0.7333... (repeating 3s), 13/15 = 0.8666... (repeating 6s), etc.
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