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/dɪnˈɑmənˌeɪtər/ Listen

noun

Denominator n.

1.

One who, or that which, gives a name; origin or source of a name. "This opinion that Aram... was the father and denomination of the Syrians in general."

2.

(Arith.) That number placed below the line in common fractions which shows into how many parts the integer or unit is divided. Note: Thus, in 3/5, 5 is the denominator, showing that the integer is divided into five parts; and the numerator, 3, shows how many parts are taken.

3.

(Alg.) That part of any expression under a fractional form which is situated below the horizontal line signifying division. Note: In this sense, the denominator is not necessarily a number, but may be any expression, either positive or negative, real or imaginary.

common denominator a number which can divide either of two or more other numbers without leaving a remainder in any of the divisions; as, 2 and 4 are common denominators of 12 and 28..

greatest common denominator the largest common denominator of two or more numbers; as, 9 is the greatest common denominator of 18 and 27..

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Etymology of 'Denominator'

Collaborative International Dictionary of English 0.48

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"Denominator" Quotes from Famous Books

... Pythagoras did when he demonstrated the forty-seventh proposition of the first book of Euclid. I was proportionately annoyed when I afterwards discovered that I had been anticipated in finding out that 'a decimal is a fraction whose denominator is a unit with as many ciphers annexed as the numerator has places,' or rather in finding out precisely ...

— The Atlantic Monthly, Volume 15, No. 89, March, 1865 • Various

... Rousseau's reasoning (264 d) as to society being a denominator which prevents man ...

— THE HISTORY OF EDUCATION • ELLWOOD P. CUBBERLEY

... in domestic requirements conformable, in temper this couple differed, though even here they did not often clash, he being equable, if not lymphatic, and she decidedly nervous and sanguine. It was to their tastes and fancies, those smallest, greatest particulars, that no common denominator could be applied. Marchmill considered his wife's likes and inclinations somewhat silly; she considered his sordid and material. The husband's business was that of a gunmaker in a thriving city northwards, and his soul was in that business always; the lady was best characterized by that ...

— Wessex Tales • Thomas Hardy

... each equal quantity of Air having its dimensions measured by 35. and some additional number exprest alwayes in the manner of a fraction, whose numerator is alway the number of the place multipli'd by 35. and whose denominator is alwayes the pressure of the Atmosphere sustain'd by that part, so that by this means we may easily calculate the height of 999. divisions of those 1000. divisions, I suppos'd; whereas the uppermost ...

— Micrographia • Robert Hooke

... infinitely microscopic chance that each of us had for life cannot be approximated. All the drops of water in the ocean, or all the grains of sand upon the shore, or all the leaves on all the trees, if converted into numbers and used as a denominator, with one for a numerator, could hardly tell the fraction of a chance that gave ...

— Crime: Its Cause and Treatment • Clarence Darrow

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