Enumerating the Rationals
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The rational numbers can be arranged in a sequence, so that it is possible to speak of a first rational number, a second rational number, and, in general, an 
rational number, for any positive integer 
.
Contributed by: Matthew Szudzik (March 2011)
Open content licensed under CC BY-NC-SA
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For a more in-depth discussion of the countability of positive rational numbers, see this article.
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"Enumerating the Rationals"
http://demonstrations.wolfram.com/EnumeratingTheRationals/
Wolfram Demonstrations Project
Published: March 7 2011
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