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Home › Math & Conversions › Core Math & Algebra › Continued fraction Continued Fraction Calculator Convert decimals and rational numbers to simple continued fractions, compute convergents, and see best rational approximations step-by-step. Core Math & Algebra Interactive continued fraction expansion and convergents Choose how you want to define your number and what you want to compute. The tool supports: Decimal or rational input \((p/q)\) with controlled depth and tolerance. Simple continued fraction expansion \([a_0; a_1, \dots, a_n]\). Convergents table with \((p_k, q_k)\), decimal values, and errors. Reverse conversion from a continued fraction back to a number. Decimal

Subcategories in Home › Math & Conversions › Core Math & Algebra › Continued fraction Continued Fraction Calculator Convert decimals and rational numbers to simple continued fractions, compute convergents, and see best rational approximations step-by-step. Core Math & Algebra Interactive continued fraction expansion and convergents Choose how you want to define your number and what you want to compute. The tool supports: Decimal or rational input \((p/q)\) with controlled depth and tolerance. Simple continued fraction expansion \([a_0; a_1, \dots, a_n]\). Convergents table with \((p_k, q_k)\), decimal values, and errors. Reverse conversion from a continued fraction back to a number. Decimal.

rational → continued fraction Continued fraction → number Max terms (depth) Limit the length of the continued fraction expansion. Tolerance (for decimals) Stop when the approximation error is below this tolerance. Decimal places for display 6 decimals 10 decimals 15 decimals Input number Decimal (real) value Optional. You can use either this field or the exact fraction below. Exact fraction \(\frac{p}{q}\)
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