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# continued fraction

noun, Mathematics.
1.
a fraction whose denominator contains a fraction whose denominator contains a fraction, and so on.
Origin of continued fraction
1860-1865
First recorded in 1860-65
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2017.
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Examples from the Web for continued fraction
Historical Examples
• The simple continued fraction is both the most interesting and important kind of continued fraction.

• Similarly the continued fraction given by Euler as equivalent to (e - 1) (e being the base of Napierian logarithms), viz.

• There is, however, a different way in which a Series may be represented by a continued fraction.

• For the convergence of the continued fraction of the second class there is no complete criterion.

• He had not then the continued fraction, a mode of representation which he gave the next year in his work on the square root.

Augustus De Morgan
• If a or b is unity, a/b cannot be converted into a continued fraction with unit numerators, and the above method fails.

• The continued fraction is therefore incommensurable, and cannot be unity.

Augustus de Morgan
British Dictionary definitions for continued fraction

## continued fraction

noun
1.
a number plus a fraction whose denominator contains a number and a fraction whose denominator contains a number and a fraction, and so on
Collins English Dictionary - Complete & Unabridged 2012 Digital Edition