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" How does it appear, that in multiplying both terms of the fraction by the same number the value of the fraction is not altered? "
Adam's New Arithmetic: Arithmetic, in which the Principles of Operating by ... - Page 126
by Daniel Adams - 1833 - 264 pages
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 368 pages
...terms =ffJ. Reason for the aboce process, If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered (Art. 66) ; and the greatest number which will divide the numerator and denominator is their greatest...
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The British Controversialist and Impartial Inquirer, Volume 5

Great Britain - 1854 - 500 pages
...multiply the denominator by 0, and obtain as the result ^J ; but if each of these numbers he divided by the same number, the value of the fraction is not altered. Ыепсе we divide both by 3, and obtain £ as an answer. But we want J of £1, or 20s., or 240d....
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The Popular Educator, Volume 2

1856 - 418 pages
...Vulgar Fractions. 10. PRINCIPLE 1. — If the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction is not altered, that is, the valu« of the fraction remains the ваше ai before ; and if the numerator and denominator...
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 740 pages
...smaller number. II. 1. 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 : prove this by means of an example. 2. What number subtracted from 41 J leaves 19 J- ? and what number...
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Arithmetic, in which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - 1858 - 354 pages
...another. Of dividing one fraction by another. How do you multiply a mixed number by a mixed number? How does it appear, that in multiplying both terms of the fraction by the same number, tlie value of the fraction is not altered ? How many, and what are the ways of dividing a fraction...
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number, and is divided...
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Arithmetic, theoretical and practical. [With] Key

Chambers W. and R., ltd - 1859 - 344 pages
...rules are founded on the principle formerly stated, that when both the terms of a fraction are divided by the same number, the value of the fraction is not altered. The division of the terms of a fraction by any MEASURE is called cancellin9. In applying the Rule,...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...- *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 4. Divide -0022498 by 2-67, and reduce — - to a decimal. 2s x 5s Find the value of -0625 of £21...
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Arithmetic

Charles Elsee - Arithmetic - 1866 - 300 pages
...importance : — If the numerator and denominator of a fraction l>e both multiplied or both divided by the same number, the value of the fraction is not altered. Thus Y| is equal to -, or ^, or * or to — , — , &c. The truth of the principle may be seen by considering...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 618 pages
...and 134.) Thus - = — . And so also if the numerator and denominator of a о be fraction be divided by the same number the value of the fraction is not altered. 136. Hence, an Algebraical fraction may be reduced to another of equal value by dividing both numerator...
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