In mathematics, a rational number is any number that can be expressed as the quotient or fractionp/q of two integers, p and q, with the denominator, q, not equal to zero. Since q may be equal to 1, every integer is a rational number. The set of all rational numbers is usually denoted by a boldface Q (or blackboard bold , Unicode ); it was thus denoted in 1895 by Peano after , Italian for "quotient".