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" If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. "
New High School Algebra - Page 165
by Webster Wells, Walter Wilson Hart - 1912 - 424 pages
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Elements of Arithmetic

Etienne Bézout - Mathematics - 1824 - 238 pages
...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 fraction...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...for their common denominator. The principle of this rule is, that if the numerator and denominator be both multiplied by the same number, the value of the fraction is not altered. That both terms are multiplied by the same number, by applying the preceding rule, will readily...
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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...
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836 - 352 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 |.|-, or each part is the same when we divide 12 inches into 20...
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A New Introduction to the Science of Algebra ...

Silas Totten - Algebra - 1836 - 320 pages
...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...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...which belong to all fractions : 1. If the terms of any fraction be both multiftlied, or both divided by the same number, the value of the fraction is not changed. 2. A fraction is multiplied by any number either by multiplying its numerator, or dividing Us denominator,...
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Mental and Practical Arithmetic

Charles Davies - Arithmetic - 1838 - 292 pages
...the fraction will be diminished as many times as there are units in the multiplier. Therefore, when the numerator and denominator of a fraction are both multiplied by the same number, the increase from multiplying the numerator will be just equal to the decrease from multiplying the denominator...
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The elements of algebra

James Wood - Algebra - 1841 - 492 pages
...equal to - of £3, which is also 15 shillings. 12. If the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction is not altered. For, if the numerator be multiplied by any number, the fraction is multiplied by that number...
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Arithmetic, designed for academies and schools, with answers

Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...the fraction will be diminished as many times as there are units in the multiplier. Therefore, when the numerator and denominator of a fraction are both multiplied by the same number, the increase from multiplying the numerator will be just equal to the decrease from multiplying the denominator;...
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Arithmetic: Designed for Academies and Schools,(with Answers.)

Charles Davies - Arithmetic - 1844 - 356 pages
...the fraction will be diminished as many times as there are units in the multiplier. Therefore, when the numerator and denominator of a fraction are both multiplied by the same number, the increase from multiplying the numerator will be just equal to the decrease from multiplying the denominator;...
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