A pumping lemma for invalid reductions of fractions

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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
Issue number5
StatePublished - 1 Nov 2010

ASJC Scopus subject areas

  • General Mathematics
  • Education


Dive into the research topics of 'A pumping lemma for invalid reductions of fractions'. Together they form a unique fingerprint.

Cite this