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Osler, Thomas J. – Mathematics and Computer Education, 2007
The fraction 16 over 64 has a well known, interesting property. If one incorrectly cancels the sixes, a correct answer of 1 over 4 is obtained. This is an example of a lucky fraction. In this article, the author presents several examples of lucky fractions and proves two interesting properties of these fractions. This article provides students the…
Descriptors: Mathematics Activities, Mathematics, Mathematical Concepts, Mathematical Models
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Buonpastore, Robert J.; Osler, Thomas J. – Mathematics and Computer Education, 2007
A table showing the first thirteen rows of Pascal's triangle, where the rows are, as usual numbered from 0 to 12 is presented. The entries in the table are called binomial coefficients. In this note, the authors systematically delete rows from Pascal's triangle and, by trial and error, try to find a formula that allows them to add new rows to the…
Descriptors: Geometric Concepts, Mathematical Formulas, Mathematics Activities, Mathematics