Multiplicative Inverse Calculator

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Choose the number format you want to work with.
Enter any non-zero integer or decimal.
Inverse (decimal)
0.25

Multiplicative inverse as a decimal number

Inverse (fraction)1/4
Input as fraction4
Verification: input x inverse4 × 1/4 = 1
0.2540.1% above · Input value (x)

The multiplicative inverse of 4 is 1/4 (= 0.25).

  • The inverse 1/4 is between 0 and 1, which happens whenever the original number is greater than 1.
  • Multiplying 4 by 1/4 gives exactly 1, which is the defining property of a multiplicative inverse.
  • Every non-zero real number has a unique multiplicative inverse. Zero is the only number with no inverse, because division by zero is undefined.

Next stepMultiplicative inverses appear in fraction division (dividing by a/b is the same as multiplying by b/a), matrix algebra (finding A-inverse), and modular arithmetic in cryptography.

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