A study of two-term unit fraction expansions via geometric approach

• Yiu-Kwong Man ^[1]
  1. [1] Department of Mathematics, Science, Social Sciences and Technology, The Hong Kong Institute of Education, Hong Kong
• Localización: Teaching mathematics and its applications, ISSN 0268-3679, Vol. 28, Nº. 1, 2009, págs. 43-47
• Idioma: inglés
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• Resumen

  • In this article, we report a study of two-term unit fraction expansions using a geometric approach. It provides us insight on how to find all two-term unit fraction expansions and identify the property of the expansions with smallest maximal denominators, for a given unit fraction. These findings will be useful to lecturers or teachers involved in teaching history of mathematics or elementary number theory.