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Suppose F = 0.461538461538...

Then 1000000F = 461538.461538...

Subtracting the first from the second gives 999999F = 461538

Note that the number of 9s is the same as the length of the repeating string.

Therefore F = 461538/999999 which can be simplified to 6/13.

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Q: How to turn 461538 repeating into a fraction?
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