# Reciprocal

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The **reciprocal** or **Multiplicative inverse** of a real number is the number such that if multiplied by the resulting output is multiplicative identity.

More generally, let be a ring. Then the reciprocal of is such that , where 1 is the multiplicative identity of the ring.

## Finding the reciprocal of a real number

The **reciprocal** of a fraction can be retrieved by swapping its numerator and denominator. Formally speaking, the reciprocal of a real number is equivalent to .