Math & Geometry
Repeating Decimal to Fraction Calculator
Convert a repeating decimal pattern to a simplified fraction by separating non-repeating and repeating digits.
- Free to use
- Runs in your browser
- Level A · Standard formula
- Last reviewed 2026-08-16
Calculator guide
How to use the Repeating Decimal to Fraction Calculator
Convert a repeating decimal pattern to a simplified fraction by separating non-repeating and repeating digits. Enter the requested values and select Calculate. The result and supporting values are produced locally in your browser.
Formula
Worked example
0.1(6), where 6 repeats, converts to 1/6.
What to keep in mind
- Enter only the digits after the decimal point: for 0.1(6), use non-repeating digits 1 and repeating digits 6.
- This method converts the repeating pattern exactly rather than rounding it first.
Methodology
This calculator uses deterministic arithmetic and performs the calculation locally in your browser. Verify assumptions, units, and source values for your specific use case.
Review standard: Level A · Standard formula. How calculator reviews work.
Frequently asked questions
What does this calculator calculate?
Convert a repeating decimal pattern to a simplified fraction by separating non-repeating and repeating digits.
How is the result calculated?
Fractional Part = [Integer(non-repeating + repeating) − Integer(non-repeating)] ÷ [10^m × (10^n − 1)].
Can I use the result for an important decision?
Use the result as a calculation aid and verify the inputs, assumptions, and applicable professional or regulatory requirements before relying on it for an important decision.
Does CalculateMeasure store the values I enter?
The calculator performs its arithmetic in your browser. The calculator itself does not need to send your entered values to a server to produce the result.