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" Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. "
Algebra - Page 53
by Isaac Todhunter - 1858 - 496 pages
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Adams's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1830 - 294 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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On the study and difficulties of mathematics [by A. De Morgan].

Augustus De Morgan - 1831 - 108 pages
...result. The most important property of a fraction is, that if both its numerator and denominator are multiplied by the same number, the value of the fraction is not altered ; that is, £ is the same as i|, or each part is the same when we divide 12 inches into 20 parts, as...
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1831 - 276 pages
...number by a mixed number ? 23. How does it appear, that in multiplying both terras 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 ar& they ? 25. How...
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The Penny Magazine of the Society for the Diffusion of Useful Knowledge

Civilization - 1832 - 406 pages
...depend, is the following : If the numerator and denominator be either both multiplied or both divided by the same number, the value of the fraction is not altered. For example, take £ and multiply its numerator and denominator by 4, which gives -JJ-. In the second fraction...
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The Common School Arithmetic: Prepared for the Use of Academies and Common ...

Charles Davies - Arithmetic - 1833 - 284 pages
...will be just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be...multiplied by the same number, the value of the fraction will remain unchanged. Thus, |=| X f =i| and 4=4 x |=||. § 119. It appears from Prop. II, that if...
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Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ...

Daniel Adams - Arithmetic - 1833 - 268 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 here to divide a fraction by a whole number ? — What are they? 25. How does...
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A New Introduction to the Science of Algebra...

Silas Totten - Algebra - 1836 - 360 pages
...Demonstration. — The demonstration of the preceding rule depends upon the following principle. If both terms of a fraction be multiplied by the same number, the value of the fraction is not altered ; for, by multiplying the numerator, the fraction is multiplied (20), and by multiplying the denominator,...
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836 - 352 pages
...fraction is in its lowest terms, and is called an irreducible fraction . 80. For the lsame reason, if the numerator and denominator of a fraction be multiplied by the same quantity, its g value is not changed For instance, — 22 .о ac and — = -т— . b be , . . time,...
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Arithmetic made easy

A. Turnbull - Arithmetic - 1836 - 368 pages
...proceM 297. It has been shown repeatedly that if both terms of a fraction be multiplied or divided by the same number, the value of the fraction is not altered ; therefore, in reducing compound fractions, if any of the numerators and denominators can be divided...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...will be just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be...multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many times...
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