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# fraction

## Definitions

### from The American Heritage® Dictionary of the English Language, 5th Edition.

• noun Mathematics An expression that indicates the quotient of two quantities, such as 1/3 .
• noun A disconnected piece; a fragment.
• noun A small part; a bit.
• noun A chemical component separated by fractionation.

### from The Century Dictionary.

• noun In mathematics: In geometry, any multiple of any submultiple of a magnitude.
• noun In chem., one of the parts into which a substance is separated in the process of fractional distillation. See fractionation.
• Same as fractionate.
• noun The act of breaking, or the state of being broken, especially by violence; a breaking or fracture.
• noun Specifically (ecclesiastical), the liturgical act of breaking or dividing the eucharistic bread, or host.
• noun A fragment; a separated portion; a disconnected part.
• noun In mathematics: In arithmetic, a part, or a number of aliquot parts, of unity.
• noun In algebra, a ration of algebraic quantities analogous to the arithmetical vulgar fraction, and similarly expressed.

### from the GNU version of the Collaborative International Dictionary of English.

• transitive verb (Chem.) To separate by means of, or to subject to, fractional distillation or crystallization; to fractionate; -- frequently used with out.
• noun obsolete The act of breaking, or state of being broken, especially by violence.
• noun A portion; a fragment.
• noun (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.
• noun 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.
• noun a fraction having a fraction or mixed number in the numerator or denominator, or in both.
• noun a fraction of a fraction; two or more fractions connected by of.
• noun See under Continued, Decimal, Partial, etc.
• noun a fraction in which the numerator is greater than the denominator.
• noun a fraction in which the numerator is less than the denominator.

• noun A part of a whole, especially a comparatively small part.
• noun A ratio of two numbers, the numerator and the denominator, usually written one above the other and separated by a horizontal bar.
• noun chemistry A component of a mixture, separated by fractionation.
• noun In a eucharistic service, the breaking of the host.
• noun A small amount.
• verb To divide or break into fractions.

• noun a small part or item forming a piece of a whole
• noun the quotient of two rational numbers
• verb perform a division
• noun a component of a mixture that has been separated by a fractional process

## Etymologies

### from The American Heritage® Dictionary of the English Language, 4th Edition

[Middle English fraccioun, a breaking, from Anglo-Norman, from Late Latin frāctiō, frāctiōn-, from Latin frāctus, past participle of frangere, to break; see bhreg- in Indo-European roots.]

From Middle English fraccioun ("a breaking"), from Anglo-Norman, from Medieval Latin fractio ("a fragment, portion"), from earlier Latin fractio ("a breaking, a breaking into pieces"), from fractus (English fracture), past participle of frangere ("to break") (whence English frangible), from Proto-Indo-European *bʰrag- (English break).

## Examples

• Loop if (y0 = y1) break if (fraction > = 0) x0+ = stepx, fraction - = dy y0+ = stepy, fraction+ = dx

• Loop if (x0 = x1) break if (fraction > y0+ = stepy, fraction - = dx x0+ = stepx, fraction+ = dy

• Because the piles are typically large enough (in the case of most publicly traded corporations), merely bleeding off a small fraction of a small fraction is enough to make a man wealthy beyond the capacity of most people to imagine.

• The glazing contains a form of uranium-oxide, and a certain fraction of the uranium-238 nuclei will absorb the moderated neutrons, and thereby transform to uranium-239.

Archive 2009-04-01 Gordon McCabe 2009

• Except that a certain fraction of the CA voting public has by now gotten wise to the thing, and there are now a lot of people (me included) who vote “no” on ALL CA initiatives unless provided with a compelling reason to do otherwise.

• And in Sweden today the guard labor fraction is less than half that of the United States.

• Apparently there was a great many lessons learned, a certain fraction (estimated at between 1 and 3 quarters of the total) of decent material produced, and apparently a lot of the problems related to people not knowing or agreeing on … what the goals and success criteria for the project were.

• Only a small fraction of the nuclear collisions in the Sun succeed in overcoming this repulsion and causing fusion; this fraction is very sensitive to the temperature.

• A certain fraction of the electrons will penetrate the barrier by tunnelling and we may obtain a weak tunnel current through the barrier.

• Measured by Gross National Product (GNP), at the end of World War II, we were more than forty per cent of the whole; today the fraction is less than a quarter.

• "How many adults are living in your household? Please respond with a whole number." -- actual wording on a survey question

January 11, 2008

• fRAcTIOn

August 4, 2008

• fraction

in fraction

March 1, 2010