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What is a rational number?

What is a rational number? Here are some definitions.

Noun
  1. (mathematics) A number that can be expressed as the ratio of two integers.
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Examples
When d is a given rational number, the set constitutes a subgroup which is conjugate to the group of multiplications.
He presented a new foundation for and extended the arithmetic of semi-simple algebras over the rational number field.
Rational numbers are also dense, meaning that between any two rational numbers, another rational number must exist.
This excludes for example in 1D the group of translations by a rational number.
A constant is an integer, a real, a complex, a rational number or an interval.
We've set the number of three lice per fish as a trigger value, a very precautionary and very rational number to deal with.

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