Anomalous cancellation
From Wikipedia, the free encyclopedia
An anomalous cancellation or accidental cancellation is a particular kind of arithmetic procedural error that gives a numerically correct answer. An attempt is made to reduce a fraction by cancelling individual digits in the numerator and denominator. This is not a legitimate operation, and does not in general give a correct answer, but in particular cases the result is numerically the same as if a correct procedure had been applied.
Examples of anomalous cancellations include 64/16 = 64/16 = 4/1 = 4, and 98/49 = 98/49 = 8/4 = 2.
- Eric W. Weisstein, Anomalous Cancellation at MathWorld.