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" We have seen in the preceding exercise that we may divide both the numerator and the denominator of a fraction by the same number without changing the value of the fraction. "
Arithmetic: Parts VII-VIII, advanced lessons - Page 48
by Eugene Herz, Mary G. Brants - 1920 - 313 pages
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...likewise represent the value of any fraction, in an infinite variety of ways. For if vie multiply both the numerator and the denominator of a fraction by the same number, which may be assumed at pleasure, this fraction will still preserve the, same value. For this reason...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 394 pages
...likewise represent the value of any fraction, in an infinite variety of ways. For if we multiply loth the numerator and the denominator of a fraction by the same number, which may be assumed at pleasure, this fraction urill still preserve the same value. For this reason...
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Gradations in Algebra in which the First Principles of Analysis are ...

Richard W. Green - Algebra - 1839 - 156 pages
...6, the fraction will be brought back to f , which is equal to jf. So, in general, if we divide both the numerator and the denominator of a fraction by the same number, we have a new fraction which will be equal to the first. Thus, T3ff may be changed to •£ ; -}| to...
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The English Journal of Education, Volume 10

Education - 1856 - 530 pages
...obtained were equal to the original fraction. M. We may, therefore, establish as a general rule : if we multiply the numerator and the denominator of a fraction by the same number, the value, of the fraction remains unchanged (although its terms become greater). Show once more on...
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Rifles and Rifle Practice: An Elementary Treatise Upon the Theory of Rifle ...

Cadmus Marcellus Wilcox - Rifle practice - 1859 - 308 pages
...the numerator remaining the same, the fraction diminishes. We can multiply or divide the two terms of a fraction by the same number, without changing the value of the fraction ; its form only changes. From what lias been said, it is seen that to make a fraction four times greater,...
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Practical arithmetic for senior classes

Henry G C. Smith - 1863 - 200 pages
...by 2; and by multiplying the denominator by 2, we divide the fraction by 2 ; and thus by multiplying the numerator and the denominator of a fraction by the same number, the value of the fraction remains unaltered. Take any two fractions, f, |. Of the Common Multiples...
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The American Commercial Arithmetic: For the Use of the Grand Rapids Business ...

T. A. Bryce - Business mathematics - 1873 - 370 pages
...the common fraction § as a decimal. We have seen (Art. 14,) that we may multiply the terms of any fraction by the same number without changing the value of the fraction. Let us then multiply the terms of | by 1000, and we get |Mo e Q n the same principle we can divide...
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Practical Treatise on Gearing

Oscar James Beale - Gearing - 1886 - 152 pages
...a simpler example. What fraction expressed in smaller numbers is nearest in value to -i^? Dividing the numerator and the denominator of a fraction by the same number does not change the value of the fraction. Dividing both Conaupnleue'dterinS of lYf bJ 29' we have...
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Practical Treatise on Gearing

Brown & Sharpe Manufacturing Co., Providence, R.I. - Gearing - 1896 - 182 pages
...> what is the What fraction expressed in smaller numbers is nearest in value to -j^j- 1 ? Dividing the numerator and the denominator of a fraction by the same number does not change the value of the fraction. Dividing both 11111 same thing expressed as a continued...
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The Public School Mental Arithmetic

James Alexander McLellan, Albert Flintoft Ames - Arithmetic - 1899 - 160 pages
...we think of each of these parts as divided into how many parts ? 18. Why can you multiply both terms of a fraction by the same number without changing the value of the fraction ? 19. 1 yd. is equal to how many halves of a yard ? How many thirds of a yard ? Fourths ? Fifths ?...
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