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On the Diophantine equation ![](https://static.cambridge.org/binary/version/id/urn:cambridge.org:id:binary:20210518102915816-0629:S0025557200182129:S0025557200182129_inline01.png?pub-status=live)
Published online by Cambridge University Press: 01 August 2016
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In this article we discuss two main theorems relating to two different decompositions of the fraction r/n as a sum of three fractions of numerator one. Each decomposition is associated with three positive integers a, b, m such that m is a divisor of an + b. Through this discussion we devise a procedure to find values of a, b and m for a given n.
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- Copyright © The Mathematical Association 2007