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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
If the numerator or denomiator becomes too large, rational number is converted in a double precision floating-point.
This formula may be an integer, a rational number, a polynomial or a rational function.
We've set the number of three lice per fish as a trigger value, a very precautionary and very rational number to deal with.
For metrological purposes the unit rad is often not suitable, since? is not a rational number, and therefore any entire number divisor of a full circle will necessarily also not be rational.
Rational numbers are also dense, meaning that between any two rational numbers, another rational number must exist.
When d is a given rational number, the set constitutes a subgroup which is conjugate to the group of multiplications.

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