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Numbers that can be expressed as fractions are called rational. A number that cannot be written as a fraction is called irrational. Common examples of this are the square root of 2, e, pi, etc*.

Real numbers (which include irrational and rational numbers) can be described by decimal expansions (possibly infinite ones). If a number has a decimal representation that repeats it must also be able to be represented as a fraction.

* (the last two of these are also transcendental, which essentially means they cannot be described as a solution to certain equations).

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11y ago

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