of a number x, 1 divided by x From Wikipedia, the free encyclopedia
In mathematics, the reciprocal (or multiplicative inverse) of a number is 1 divided by the number, or equivalently, the number raised to the power of -1 (as in and ).[1][2] All numbers have a reciprocal except zero, since no number times 0 is 1. Two numbers are reciprocal of each other if and only if their product is 1.[3] For example:
To find the reciprocal of a fraction, swap the numerator and the denominator. Whole numbers can be thought as having a denominator of 1.[2] For example:
Dividing a fraction is the same as multiplying its reciprocal and vice versa.
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