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" From what has preceded, we perceive that the value of a fraction is the quotient arising from the division of the numerator by the denominator, or from the expression of this division. "
Elements of Algebra - Page 233
by Silvestre François Lacroix - 1825 - 276 pages
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A Course of Mathematics: Designed for the Use of the Officers ..., Volumes 1-2

Isaac Dalby - 1807 - 968 pages
...and I divided by 4 produces -J, or a quarter. In grmr.il, every fraction • hould be considered as the quotient arising from the division of the numerator by the denominator. KEDUCTÍON OP VULGAR FRACTIONS. 38. REDUCTION of Vulgar Fractions principally consists in <hanging...
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The Elements of Algebra: Designed for the Use of Students in the University

James Wood - 1815 - 338 pages
...former fraction is one fourth of the latter. (1O.) A simple fraction may be considered as representing the quotient arising from the division of the numerator by the denominator; thus the fraction o represents the quotient of 3 divided by 4 ; for 3 is — (Art. 7), and this divided...
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - 1818 - 190 pages
...denominator are also called the terms of a fraction. A simple fraction may also be considered as representing the quotient arising from the division of the numerator by the denominator ; thus, | represents the quotient of 3 divided by 4 : for f of 1 is equal to { of 3. A proper fraction...
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Staniford's Practical Arithmetic ...: Adapted Principally to Federal Currency

Daniel Staniford - 1818 - 332 pages
...be considered as a dividend, and the denominator as a divisor, and the fraction as an expression of the quotient, arising from the division of the numerator by the denominator. Hence, 8. A fraction is less, equal, or greater than an unit, as the numerator is less, equal, or greater...
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Elements of Geometry

Adrien Marie Legendre - 1819 - 574 pages
...in art. 240, the logarithms of fractional numbers are, upon our present hypothesis, negative; and wo may easily deduce them from those of entire numbers,...the denominator. "When the numerator is less than tho denominator, its logarithm is also less, than that of the denominator, and consequently if we subtract...
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Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...each of these numbers is the quotient of that which precedes it, divided by 10, the logarithm of tl\e one is found by taking an unit from the characteristic...negative. In order to obtain the logarithm of the fraction i, for example, we subtract from 0, which denotes the logarithms of 1, the fraction 0,3010300, which...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...thus, 4 ; the numerator being always placed above the denominator. 35. A fraction may be considered as the quotient arising from the division of the numerator by the denominator. Thus, for example, the value of the fraction | is the same, whether we conceive it as denoting the...
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Scribner's Engineers' and Mechanics' Companion: Comprising United States ...

J. M. Scribner - 1849 - 286 pages
...connected by the word of; as f of f off, &c. A fraction denotes dicision, and its value is equal to the quotient arising from the division of the numerator by the denominator. Thu8-V"-=4; -'j-=3i; J = -125; J=-25; I = -625, &c. REDUCTION OF VULGAR FRACTIONS. To reduce Fractions...
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - 1850 - 346 pages
...denominator to the divisor. » ART. 133. From what has preceded, we perceive that the value of a fraction is the quotient arising from the division of the numerator by the denominator, or from the expression of this division. Thus the quotient of f or 6 -j- 2 is 3 ; and the quotient...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...denominator to the divisor. ART. 133. From what has preceded, we perceive that the value of a fraction is the quotient arising from the division of the numerator by the denominator, or from the expression of this division. Thus the quotient of f or 6 -j- 2 is 3 ; and the quotient...
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