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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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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...demon•etrating certain properties in relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be •changed. Let the proposed fraction be designated by -, and let n be any number whatever....
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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
...relating to 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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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...demonstrating certain properties in relation to known and given numbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by -, and let n be any number whatever....
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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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Elements of algebra

Philip Kelland - 1860 - 308 pages
...the numerator. REDUCTION. The fundamental proposition of reduction of fractions is this : 7 4. PROP. If the numerator and denominator of a fraction be multiplied by the same quantity, the fraction is unaltered in value. Let- be the fraction, where a and b are integers, then...
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Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - Arithmetic - 1861 - 496 pages
...each part; henco the value of the fraction is not changed: therefore, PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. 1. Multiply both terms of the fraction f by 4, by 6, and by 5 2. Multiply...
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Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - Arithmetic - 1863 - 346 pages
...hence, the value of the fraction is not changed : therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. , 1. Multiply the numerator and denominator of -f by 7 : this gives,...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...lowest terms. What fraction is | x Ц of ф ? 7* : ~ A + 4 (4 - *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be...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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