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Frac·tion n.

1. The act of breaking, or state of being broken, especially by violence. [Obs.]

*Neither can the natural body of Christ be subject to any fraction or breaking up.* --*Foxe.*

2. A portion; a fragment.

*Some niggard fractions of an hour.* --*Tennyson.*

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.

**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 ½, one half, ⅖, 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.

Im·prop·er a.

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.

Follow'd his enemy king, and did him service,

Improper for a slave. --*Shak.*

And to their proper operation still,

Ascribe all Good; to their improper, Ill. --*Pope.*

2. Not peculiar or appropriate to individuals; general; common. [Obs.]

*Not to be adorned with any art but such improper ones as nature is said to bestow, as singing and poetry.* --*J. Fletcher.*

3. Not according to facts; inaccurate; erroneous.

**Improper diphthong**. See under Diphthong.

**Improper feud**, an original feud, not earned by military service. --*Mozley & W.*

**Improper fraction**. See under Fraction.

From: WordNet (r) 2.0

improper fraction

n : a fraction whose numerator is larger than the denominator