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Fraction to Decimal Converter (Repeating Cycle Detection)
x402
Fraction to Decimal Converter (Repeating Cycle Detection) is a paid API for AI agents from fraction.openverbs.com, paid per call via x402, $0.002/call, status unknown (last checked 2026-09-14).
Converts a fraction (numerator/denominator) to its exact decimal representation, detecting repeating cycles and rendering them in parenthesis notation (e.g. 1/7 → '0.(142857)').
Price / call$0.002
Success—
StatusUnknown
How this service works
Expand a fraction to its decimal form by exact long division, detecting a repeating cycle and rendering it in parenthesis notation (e.g. 1/6 → '0.1(6)', 1/7 → '0.(142857)'). maxDigits caps a non-repeating expansion. A zero denominator is a clean 400.
Output
Returns the decimal string representation of the fraction, with any repeating cycle enclosed in parentheses (e.g. '0.1(6)' for 1/6, '0.(142857)' for 1/7). Non-repeating expansions are capped by maxDigits (default 100). A zero denominator returns a clean 400 error.
Example use cases
Repeating decimal display for education
“Can you show me the full decimal form of 1 divided by 6 with the repeating part clearly marked in parentheses?”
High-precision fraction expansion
“Expand 355 divided by 113 to its decimal, up to 200 digits, and highlight any repeating cycle.”
Verify fraction arithmetic result
“I got 5/12 as my answer to a problem — what's that as a decimal, with repeating digits shown?”
Technical details
Endpoint
POSThttps://fraction.openverbs.com/v1/to-decimalWhen to prefer
Choose this endpoint when you need the exact decimal representation of a fraction with explicit repeating-cycle detection rendered in parenthesis notation, rather than a floating-point approximation. It is ideal for mathematical education tools, number theory applications, or any workflow requiring precise rational number display. Prefer it over generic division APIs when the repeating/non-repeating structure of the decimal expansion is semantically important.
Side effects
- Zero denominator returns HTTP 400 with a clean error message
- maxDigits out of range (below 1 or above 10000) may cause validation error
- Non-integer numerator or denominator will fail schema validation
- Missing required numerator field returns a 400 validation error
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object |
Tags
x402
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