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Improper fraction

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.] 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, 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.

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.] 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, 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.

- denominator, and improper otherwise. In general, a common fraction is said to be a proper fraction if the absolute value of the fraction is strictly less...

- In mathematical analysis, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a...

- are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant) and a proper rational fraction. In the...

- In chemistry, the m**** fraction of a substance within a mixture is the ratio w i {\displaystyle w_{i}} (alternatively denoted Y i {\displaystyle Y_{i}}...

- 12 {\displaystyle \scriptstyle 2\,{\frac {7}{12}}} , or simply the improper fraction 31 12 {\displaystyle \scriptstyle {\frac {31}{12}}} . Notation of...

- change very quickly. Fractions: A representation of a non-integer as a ratio of two integers. These include improper fractions as well as mixed numbers...

- improper fraction, or sometimes top-heavy fraction, if the absolute value of the fraction is greater than or equal to 1. Examples of proper fractions...

- of winning less than 50%, an improper fraction) of the amount at stake that the upside outcome represents. This fraction may be derived by subtracting...

- Division Quotient Quotition and partition Fraction Decimal fraction Proper fraction Improper fraction Vulgar fraction Ratio Common denominator Lowest common...

- and reduce it to an improper fraction. For example, take the term 3 3 7 {\displaystyle 3{\tfrac {3}{7}}} . The improper fraction is 24 7 {\displaystyle...

- In mathematical analysis, an improper integral is the limit of a definite integral as an endpoint of the interval(s) of integration approaches either a...

- are improper. Any improper rational fraction can be expressed as the sum of a polynomial (possibly constant) and a proper rational fraction. In the...

- In chemistry, the m**** fraction of a substance within a mixture is the ratio w i {\displaystyle w_{i}} (alternatively denoted Y i {\displaystyle Y_{i}}...

- 12 {\displaystyle \scriptstyle 2\,{\frac {7}{12}}} , or simply the improper fraction 31 12 {\displaystyle \scriptstyle {\frac {31}{12}}} . Notation of...

- change very quickly. Fractions: A representation of a non-integer as a ratio of two integers. These include improper fractions as well as mixed numbers...

- improper fraction, or sometimes top-heavy fraction, if the absolute value of the fraction is greater than or equal to 1. Examples of proper fractions...

- of winning less than 50%, an improper fraction) of the amount at stake that the upside outcome represents. This fraction may be derived by subtracting...

- Division Quotient Quotition and partition Fraction Decimal fraction Proper fraction Improper fraction Vulgar fraction Ratio Common denominator Lowest common...

- and reduce it to an improper fraction. For example, take the term 3 3 7 {\displaystyle 3{\tfrac {3}{7}}} . The improper fraction is 24 7 {\displaystyle...

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