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Rational approximations

Published online by Cambridge University Press:  01 August 2016

Anthony C. Robin
Anthony C. Robin*
Affiliation:
County High School for Girls, Norman Way, Colchester CO3 3US
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Extract

Any positive fraction can be represented by a lattice point in the positive quadrant of the coordinate plane, (x, y) being used to represent the fraction y/x. The diagram shows the points representing 2/3,4/6,6/9 and it’s easy to see that equivalent fractions will in general lie on a line through the origin, the gradient of that line equalling the value of the fractions in question.

Type
Research Article
Information
The Mathematical Gazette , Volume 74 , Issue 467 , March 1990 , pp. 11 - 19
Copyright
Copyright © The Mathematical Association 1990

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