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" If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered. "
A High School Arithmetic (Wentworth & Hill's Practical Arithmetic) - Page 123
by George Albert Wentworth - 1888 - 362 pages
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Select Parts of Professor Saunderson's Elements of Algebra: For the Use of ...

Nicholas Saunderson - Algebra - 1761 - 438 pages
...versa. Thus -f are twice as much as Tt and 4- is but half as much. From this principle it follows, that if the numerator and denominator of a fraction be both multiplied, or both divided by the fame number, the value of the fraction will not be affecr.ed thereby ; becaufe, as much as the fraction...
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The British Encyclopedia, Or Dictionary of Arts and Sciences ..., Volume 1

William Nicholson - Natural history - 1809 - 716 pages
...will not be altered. For — "A i -4-o A . ab = + 6= -j ; and = — b = — a -fa ' — a — at a If the numerator and denominator of a fraction be both multiplied, or both divided by the same quantity, its value is not altered. For •fa . arwz ry lie 6" a tic z be' Hence, a fraction is reduced...
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...the value of the fraction will be diminished or increased proportionably. Whence, it follows, that if the numerator and denominator of a fraction be...divided, by the same number, the value of the fraction will not be altered : thus, |=•=ja=£a», &c. And on these principles the greater part of the following...
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A Complete System of Theoretical and Mercantile Arithmetic: Comprehending a ...

George G. Carey - Arithmetic - 1818 - 602 pages
...denominator be both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain the same value....
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American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 1

William Nicholson - Arts - 1819 - 432 pages
...value will not be altered. For — a4 +a4 ab = + 4 =-$ ; and — = — 4s» — a + a — a — ab. If the numerator and denominator of a fraction be both multiplied, or both divided, by the same quantity, its value is not altered. For ac a. iurvz y — =T; and ^ ==-?. be o ate* be Hence, a fraction...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Ryan, Robert Adrain - Algebra - 1824 - 542 pages
...will represent the value of the fraction y, or the quotient of the division of a by b. • b * * 118. If the numerator and denominator of a fraction be both multiplied, or both divided by the same quantity r, its value will not be, altered. For, if we multiply by m the two members of the equality...
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...•£ are equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided by the same number, the value of. the fraction is not changed. But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |.. For, a...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...the same numerator. Hence it follows, that if the numerator and denominator of a fraction, be either both multiplied, or both divided by the same number, the value of the fraction will remain unchanged. rp, 24,'_12_6_2 2_4_6_j!_ . US3T~I¥~9~3; 5~10~15-20' 43. From the preceding,...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 266 pages
...mixed number by a mixed number ? 23. How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered ? 24. How many ways are there to divide a fraction by a whole number ? — What are' they? 25. How...
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1828 - 286 pages
...mixed number by a mixed number? 23. How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered? 24. How many ways are there to divide a fraction by a whole number ? — What are they? 25. How does...
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