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Reciprocal Calculator
Find the reciprocal (1 ÷ x) of any number or fraction.
Reciprocal
—
1 ÷ the number.
| As a decimal | — |
|---|---|
| As a fraction | — |
| Number | — |
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Enter your figures above to see the step-by-step working.
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How the Reciprocal Calculator Works
The reciprocal of a number is 1 divided by that number — the value you multiply it by to get 1. The reciprocal of 4 is 0.25 (1/4), and the reciprocal of a fraction just flips it: the reciprocal of 2/3 is 3/2. Zero has no reciprocal, since you can’t divide by zero.
Reciprocals turn division into multiplication: dividing by a number is the same as multiplying by its reciprocal, which is how fraction division works.
reciprocal of x = 1 ÷ x
Frequently Asked Questions
What is a reciprocal?
1 divided by the number — what you multiply it by to get 1. The reciprocal of 4 is 0.25.
What is the reciprocal of a fraction?
Flip it. The reciprocal of 2/3 is 3/2.
Does zero have a reciprocal?
No — 1 ÷ 0 is undefined, so zero has no reciprocal.
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