1. a fraction whose numerator is larger than the denominator;

The Collaborative International Dictionary of English v.0.48:

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.] [1913 Webster] Neither can the natural body of Christ be subject to any fraction or breaking up. --Foxe. [1913 Webster] 2. A portion; a fragment. [1913 Webster] Some niggard fractions of an hour. --Tennyson. [1913 Webster] 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. [1913 Webster] 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. [1913 Webster]The Collaborative International Dictionary of English v.0.48:

Improper \Im*prop"er\, a. [F. impropre, L. improprius; pref. im- not + proprius proper. See Proper.] 1. Not proper; not suitable; not fitted to the circumstances, design, or end; unfit; not becoming; incongruous; inappropriate; indecent; as, an improper medicine; improper thought, behavior, language, dress. [1913 Webster] Follow'd his enemy king, and did him service, Improper for a slave. --Shak. [1913 Webster] And to their proper operation still, Ascribe all Good; to their improper, Ill. --Pope. [1913 Webster] 2. Not peculiar or appropriate to individuals; general; common. [Obs.] [1913 Webster] Not to be adorned with any art but such improper ones as nature is said to bestow, as singing and poetry. --J. Fletcher. [1913 Webster] 3. Not according to facts; inaccurate; erroneous. [1913 Webster] Improper diphthong. See under Diphthong. Improper feud, an original feud, not earned by military service. --Mozley & W. Improper fraction. See under Fraction. [1913 Webster]WordNet (r) 3.0 (2006):

improper fraction n 1: a fraction whose numerator is larger than the denominator