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The problem is called "Anomalous Cancellation". A bit more information can be found here: http://mathworld.wolfram.com/AnomalousCancellation.html
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Project Euler #33: Digit canceling fractions
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The problem is called "Anomalous Cancellation". A bit more information can be found here: http://mathworld.wolfram.com/AnomalousCancellation.html