Fraction inverse (reciprocal) calculator
Calculator finds multiplicative inverse of given fraction or number.

Fraction, which you're going to invert

Enter fraction (number)

Result - fraction inverse step by step

Your fraction (number) to invert
13
4
Step I: Remove whole parts (if exists)
1 · 4 + 3
4
=
7
4
Step II: Invert fraction
4
7
Step III: Convert improper fraction to mixed number (if needed)
4
7

Some facts

Remember:
  • "Multiplicative inverse" and "reciprocal" is the same thing
  • To invert a number X you have to divide 1 by that number. So, multiplicative inverse of X is 1/X.
  • To invert fraction you simply need to swap its nominator with denominator. For example inverse of 3/4 is improper fraction 4/3.
  • Inverse of number X is Y, when X × Y is equal to one. For example inverse of number 2 is fraction 1/2 because 2 × 1/2 = 1. So, whatever number X times inverted X equals one !
  • There is no inverse of zero. This also means: any fraction with zero in nominator has no inverse too - no matter what is denominator. Do not be fooled!
  • When you invert number lower than one, you get number greater than one and vice versa.
  • The inverse of number 1 is 1.
  • If you invert some number twice, then you will get the same number. In other words, if you invert the number X and then invert the result again - you get X !

How to use this tool

Enter fraction (number), which you want to invert and calculla will present you the step-by-step inversion. To find fraction (number) inverse you need to do below steps:
  • I. Remove wholes part. If you want to invert mixed number (or integer number), then you need conver it to improper fraction. For example: 2 1/2 should be converted to 5/2. In other case i.e. when there is no wholes part part, nothing to do in this step. After this step your number will be ready to invert.
  • II. Invert fraction i.e. swap its numerator and denominator.
  • III. Pull out wholes part. If inverted fraction is improper (numerator greater than denominator) convert it to mixed number.

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Ancient version of this site - links

"Calculla v1" version of this calculatorIn December 2016 the Calculla website has been republished using new technologies and all calculators have been rewritten. Old version of the Calculla is still available through this link: v1.calculla.com. We left the version 1 of Calculla untouched for archival purposes.
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