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Gateway Information Group

Focused checks / Useful results

Make your next step
a little clearer.

Prepare text, check data against your rules, or trace the effects of a change. Each tool has a defined scope and a private result.

See a fictional example report →

A focused tool.
A clear scope.

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Exact Continued Fraction Convergents API

Expand a rational number and return all regular continued-fraction convergents.

Expand a rational number and return all regular continued-fraction convergents. Signed decimal-string numerator and positive denominator, up to 30 digits each. Floor-based regular continued fractions work for negative values; reduced exact convergents and canonical final partial quotient. No irrational or floating-point guessing. Supplied non-sensitive data only; no live account access, automated changes or certification. Profile 1.0.0: approximate non-integers use 12 significant digits; safe integers and declared integer strings are preserved.

Agent API guide → · Website orders show the report on your private order page.

The complete checkout request must fit within 40,000 UTF-8 bytes. Your input is validated again before an order is created.

Before you begin

Use non-sensitive information you are authorized to process. Do not include passwords, wallet keys, personal records or confidential material. Examples stay in your browser until you submit checkout.

Payment options appear only when available for your selected service. Confirmed payment starts processing. Save your private order link to retrieve the JSON result during its 30-day access period. These checks do not establish factual accuracy, regulatory compliance or complete dependency coverage.

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