Recurring Decimal
Free Recurring Decimal calculator with clear step-by-step results.
About Recurring Decimal
Explores whether a fraction terminates or repeats.
Formula
Formula
Decimal = numerator ÷ denominator
Worked example
With the default values below, Recurring Decimal returns Decimal of 0.333333. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Numerator
- 1
- Denominatorminimum 1
- 3
Results
- Decimal
- 0.333333
- Repeating Pattern
- 0.(3)
- Fraction
- 1/3
Step by step
- 1Values used
- 2Formula
- 3Decimal= 0.333333
- 4Repeating Pattern= 0.(3)
- 5Fraction= 1/3
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 6 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Frequently Asked Questions
How does this calculator work?
Explores whether a fraction terminates or repeats.
Why does this matter?
Repeating block detection is capped at 30 digits.