A reciprocal, in mathematics, is the multiplicative inverse of a number. It is denoted by 1/x or x^-1, and it is the number which, when multiplied by x, yields the multiplicative identity, 1. For a non-zero real number "n," the reciprocal is given by 1/n. The reciprocal of a fraction a/b is b/a. The reciprocal of a number can be found by dividing 1 by the given number, or by flipping the number upside down. Every number has a reciprocal except for 0, and the product of a number and its reciprocal always equals 1. The reciprocal is also used in division, where dividing by a number is the same as multiplying by its reciprocal