How does the Continued Fraction Calculator work?

Input decimal or fraction Then: Generate continued fraction expansion Then: Calculate convergents (increasingly accurate approximations).

Can you give an example of how to use the Continued Fraction Calculator?

Example: Input Pi ≈ 3.14159 gives a result of CF = [3; 7, 15, 1, 292, ...], convergent 355/113 ≈ 3.14159 (extremely accurate).

Is the Continued Fraction Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Continued Fraction Calculator?

Our Continued Fraction Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Continued Fraction Calculator

Continued Fraction

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Continued fractions express numbers as nested fractions: x = a₀ + 1/(a₁ + 1/(a₂ + ...)); useful for rational approximations.

Difficulty:advanced

References

›Continued Fraction — Wikipedia

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Continued Fraction Calculator

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Continued Fraction