continued fraction


Definition of continued fraction

: a fraction whose numerator is an integer and whose denominator is an integer plus a fraction whose numerator is an integer and whose denominator is an integer plus a fraction and so on

Examples of continued fraction in a Sentence

Recent Examples on the Web Continued fractions are approximations; as the height of the tower of numerators and denominators grows, the continued fraction approximation gets closer to the irrational number being approximated. Evelyn Lamb, Popular Mechanics, 23 Feb. 2021 The insight of the continued fraction approach to solving Pell’s equation is that when x and y are large, a difference of 1 is relatively small. Evelyn Lamb, Popular Mechanics, 23 Feb. 2021 That’s step one in converting to a continued fraction. Popular Mechanics, 21 Feb. 2021

These example sentences are selected automatically from various online news sources to reflect current usage of the word 'continued fraction.' Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Send us feedback.

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First Known Use of continued fraction

1811, in the meaning defined above

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Time Traveler for continued fraction

Time Traveler

The first known use of continued fraction was in 1811

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Dictionary Entries Near continued fraction

continued bond

continued fraction

continued product

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Statistics for continued fraction

Cite this Entry

“Continued fraction.” Dictionary, Merriam-Webster, Accessed 27 Nov. 2021.

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