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Repeating Decimal to Fraction
Convert an explicitly written repeating decimal into an exact reduced fraction without inferring a cycle.
Decimal text with an explicit parenthesized repetend
JSON reduced-fraction report
Browser only
Runs locally in your browser. Your files, pasted content and generated output are not uploaded. Reset clears this tool’s working data.
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How to use this tool
- Enter Repeating decimal in the form 1.2(3), with a nonempty integer part and repeating block.
- Select Convert repeating decimal.
- Download repeating-fraction.json for the exact reduced fraction and original validated components.
Examples
1.2(3) converts to 37/30; 0.(9) converts to 1/1.
Limitations
- Up to 100 integer digits, 100 nonrepeating prefix digits and 100 repeating digits; 310 raw input units, 512 intermediate digits, 64 KiB report and 30 seconds.
- Use a decimal point and explicit parentheses, with no internal whitespace. The stated repetend length is retained even when a shorter cycle exists.
- No cycle detection from arbitrary fractions, locale notation or approximation from finite decimal samples.
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