A fraction {continued fraction}| can have an integer plus a numerator-1 fraction, and that fraction can have a denominator with an integer plus a numerator-1 fraction, and so on: a + 1/(b + 1/(c + 1/(...))), where a, b, and c are integers. a + (b + (c + (...)^-1)^-1)^-1. Rational numbers can be terminating continued fractions. Quadratic irrational numbers can be non-terminating periodic continued fractions. Real numbers can be non-terminating non-periodic continued fractions.
Mathematical Sciences>Arithmetic>Fraction>Types
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Date Modified: 2022.0224