continued fraction
    n 1: 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

Fraction \Frac"tion\, n. [F. fraction, L. fractio a breaking,
   fr. frangere, fractum, to break. See Break.]
   1. The act of breaking, or state of being broken, especially
      by violence. [Obs.]
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            Neither can the natural body of Christ be subject to
            any fraction or breaking up.          --Foxe.
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   2. A portion; a fragment.
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            Some niggard fractions of an hour.    --Tennyson.
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   3. (Arith. or Alg.) One or more aliquot parts of a unit or
      whole number; an expression for a definite portion of a
      unit or magnitude.
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   Common fraction, or Vulgar fraction, a fraction in which
      the number of equal parts into which the integer is
      supposed to be divided is indicated by figures or letters,
      called the denominator, written below a line, over which
      is the numerator, indicating the number of these parts
      included in the fraction; as 1/2, one half, 2/5, two
      fifths.

   Complex fraction, a fraction having a fraction or mixed
      number in the numerator or denominator, or in both.
      --Davies & Peck.

   Compound fraction, a fraction of a fraction; two or more
      fractions connected by of.

   Continued fraction, Decimal fraction, Partial fraction,
      etc. See under Continued, Decimal, Partial, etc.

   Improper fraction, a fraction in which the numerator is
      greater than the denominator.

   Proper fraction, a fraction in which the numerator is less
      than the denominator.
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Continued \Con*tin"ued\, p. p. & a.
   Having extension of time, space, order of events, exertion of
   energy, etc.; extended; protracted; uninterrupted; also,
   resumed after interruption; extending through a succession of
   issues, session, etc.; as, a continued story. "Continued
   woe." --Jenyns. "Continued succession." --Locke.
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   Continued bass (Mus.), a bass continued through an entire
      piece of music, while the other parts of the harmony are
      indicated by figures beneath the bass; the same as
      thorough bass or figured bass; basso continuo. [It.]

   Continued fever (Med.), a fever which presents no
      interruption in its course.

   Continued fraction (Math.), a fraction whose numerator is
      1, and whose denominator is a whole number plus a fraction
      whose numerator is 1 and whose denominator is a whole
      number, plus a fraction, and so on.

   Continued proportion (Math.), a proportion composed of two
      or more equal ratios, in which the consequent of each
      preceding ratio is the same with the antecedent of the
      following one; as, 4 : 8 : 8 : 16 :: 16 : 32.
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