A pumping lemma for invalid reductions of fractions

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Abstract

Children often incorrectly reduce fractions by canceling common digits instead of common factors. There are cases, however, in which this incorrect method leads to correct results. Instances such as 16/64 and 19/95 are well-known. In this paper, we consider such "weird fractions" and show how examples of them can be multiplied ad infinitum and lead to interesting questions.

Original languageEnglish
Pages (from-to)357-364
Number of pages8
JournalCollege Mathematics Journal
Volume41
Issue number5
DOIs
StatePublished - 1 Nov 2010

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