Fraction to decimal converter
It uses long division to find whether the decimal ends or repeats, and tells you how long the repeating block is.
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Processing and privacy: The result is calculated inside your browser and your data is not sent to any server.
How to use it
- Enter numerator and denominator.
- The result appears straight away and updates as you edit.
- Copy the result, or copy a link that keeps the same values to share it.
How it is calculated
Decimal = numerator ÷ denominator by long division; digits repeat once a remainder comes back
Example
Inputs: Numerator = 1, Denominator = 6. Result: Exact decimal: 0.1(6); Rounded value: 0.1666666667; Percentage: 16.666667%.
Limits and caveats
- The denominator is limited to 10000 so the repeating block stays displayable.
- A fraction terminates only when its reduced denominator has no prime factors other than 2 and 5.
Questions about this tool
What do the brackets in the result mean?
The digits in brackets repeat forever, so 0.1(6) means 0.1666 with the 6 repeating.
Why does 1/8 end but 1/3 repeat?
The denominator 8 has only the factor 2, while 3 is not a factor of 10, so the division never ends.
Is 22/7 equal to pi?
No. 22/7 = 3.(142857) is only an approximation; pi is irrational and never repeats.