proper fraction
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 Prop·er a.
 1. Belonging to one; one's own; individual. “His proper good” [i. e., his own possessions]. --Chaucer. “My proper son.”
 Now learn the difference, at your proper cost,
 Betwixt true valor and an empty boast.   --Dryden.
 2. Belonging to the natural or essential constitution; peculiar; not common; particular; as, every animal has his proper instincts and appetites.
    Those high and peculiar attributes . . . which constitute our proper humanity.   --Coleridge.
 3. Befitting one's nature, qualities, etc.; suitable in all respect; appropriate; right; fit; decent; as, water is the proper element for fish; a proper dress.
    The proper study of mankind is man.   --Pope.
 In Athens all was pleasure, mirth, and play,
 All proper to the spring, and sprightly May.   --Dryden.
 4. Becoming in appearance; well formed; handsome. [Archaic] “Thou art a proper man.”
    Moses . . . was hid three months of his parents, because they saw he was a proper child.   --Heb. xi. 23.
 5. Pertaining to one of a species, but not common to the whole; not appellative; -- opposed to common; as, a proper name; Dublin is the proper name of a city.
 6. Rightly so called; strictly considered; as, Greece proper; the garden proper.
 7. Her. Represented in its natural color; -- said of any object used as a charge.
 In proper, individually; privately. [Obs.] --Jer. Taylor.
 Proper flower or Proper corolla Bot., one of the single florets, or corollets, in an aggregate or compound flower.
 Proper fraction Arith. a fraction in which the numerator is less than the denominator.
 Proper nectary Bot., a nectary separate from the petals and other parts of the flower.
 Proper noun Gram., a name belonging to an individual, by which it is distinguished from others of the same class; -- opposed to common noun; as, John, Boston, America.
 Proper perianth or Proper involucre Bot., that which incloses only a single flower.
 Proper receptacle Bot., a receptacle which supports only a single flower or fructification.


 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.


 proper fraction
      n : a fraction with a numerator smaller than the denominator