In
mathematics, a rational number is a number which can be expressed as a
ratio of two
integers. Non-integer rational numbers (commonly called
fractions) are usually written as the
vulgar fraction , where b is not
zero. Each rational number can be written in infinitely many forms, such as , but it is said to be in simplest form when a and b have no common
divisors except 1 (i.e., they are
coprime). Every non-zero rational number has exactly one simplest form of this type with a positive denominator. A fraction in this simplest form is said to be an
irreducible fraction, or a fraction in reduced form.
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