# Definition Of Rational Number

## What Denotes A Rational Number

In mathematics, a **Rational Number** is any number that can be expressed
as a Fraction - Proper Fraction or Improper Fraction. Most importantly, all fractions (^{numerator}/_{denominator}) are considered
rational numbers provided the denominator is not zero.

Another important fact of arithmetic, the denominator may be equal to 1, which means every integer is a rational number.
Simple example: ^{10}/_{1} = 10. This means all integers are always rational numbers.
Rational Numbers are the opposite of Irrational Numbers.

Numerical Example |
Rational Number |
---|---|

^{35711131719}/_{0} |
No - any number divided by zero is undefined! |

37 | Yes |

^{12}/_{5} |
Yes (2.4) |

0.123456789 | Yes |

√2 | No - no fraction can produce the same number as √2. |