Rational number

Quotient of two integers

In mathematics, a rational number is a number that can be expressed as the quotient or fraction ⁠ p q {\displaystyle {\tfrac {p}{q}}} ⁠ of two integers, a numerator p and a nonzero denominator q. For example, ⁠ 3 7 {\displaystyle {\tfrac {3}{7}}} ⁠ is a rational number, as is every integer (for example, − 5 = − 5 1 {\displaystyle -5={\tfrac {-5}{1}}}). The set of all rational numbers is often referred to as "the rationals", and is closed under addition, subtraction, multiplication, and division by a nonzero rational number.

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