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Lucky Fractions: Where Bad Arithmetic Gives Correct Results
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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
The Director Circle of a Central Conic Section
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Ayoub, Ayoub B. – Mathematics and Computer Education, 2007
Each ellipse and hyperbola has a circle associated with it called the director circle. In this article, the author derives the equations of the circle for the ellipse and hyperbola through a different approach. Then the author concentrates on the director circle of the central conic given by the general quadratic equation. The content of this…
Descriptors: Geometric Concepts, Geometry, Equations (Mathematics), Mathematics Education