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FromContinuedFraction

FromContinuedFraction[list]
reconstructs a number from the list of its continued fraction terms.

FromContinuedFraction[{a₁, a₂, ..., {b₁, b₂, ...}}] returns the exact number whose continued fraction terms start with the a_i, then consist of cyclic repetitions of the b_i.

Quadratic irrationals (recurring continued fractions):

Symbolic form:

Compare with the division-based form:

Rational approximation to

Numbers with simple recurring continued fractions:

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