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" Both terms of a fraction may be divided by the same number without changing the value of the fraction. "
Elementary Algebra - Page 158
by George Hervey Hallett, Robert Franklin Anderson - 1917 - 402 pages
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Arithmology; or, Theory of common arithmetic, fully proved without algebra

Solomon Edward CASPERSONN - Arithmetic - 1844 - 74 pages
...to the product of the second into the third divided by the first, and numerator and denominator can be divided by the same number without changing the value of the fraction, the first member and the product of the second and third can be divided by one and the same number...
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A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ...

Charles William Hackley - Algebra - 1846 - 544 pages
...of a fraction may be multiplied by the same number, and, liy similar considerations, it will appear, may be divided by the same number without changing the value of the fraction. Corollary. — Rule. To multiply a fraction by a whole number, multiply the numerator of the fraction,...
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An Elementary Treatise on Algebra: Designed as First Lessons in that Science

Horatio Nelson Robinson - Algebra - 1850 - 256 pages
...if we multiplied by any other number ; and conversely, we may divide both numerator and denominator by the same number, without changing the value of the fraction. Hence, if any fraction contains any factors common to both numerator and denominator, we may suppress them...
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An Elementary Intellectual Arithmetic: Containing Numerous Origional ...

Daniel Leach, Robert Swan - Arithmetic - 1853 - 168 pages
...evident from the fact that the terms of a ratio are the terms of a fraction, which may be multiplied or divided by the same number, without changing the value of the fraction. Proportion is the union of two equal ratios. Fractions having the same denominator are to eack other...
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New Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1859 - 324 pages
...its lowest terms, when the numeratoi and denominator contain no common factqrs. It has been shown, that both terms of a 'fraction may be divided by the same quantity, without altering its value. Hence, if they have any common factors, we may strike them out....
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Bryant and Stratton's Commercial Arithmetic: In Two Parts. Designed for the ...

Emerson Elbridge White - Arithmetic (Commercial), 1861 - 1861 - 348 pages
...Ex. 1. Reduce | -| to its lowest terms. 4)| | =2) A -3} Ans. Or, 8)H = } Ans. Explanation. — Since both terms of a fraction may be divided by the same number without changing its value, divide both numerator and denominator by 4. The result is j"T. Again, divide both terms...
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The Model Elementary Arithmetic: Including Oral and Written Exercises

Alfred Kirk, Henry Holmes Belfield - Arithmetic - 1876 - 220 pages
...principles of division apply to the terms of a fraction, and both terms of a fraction may be multiplied or divided by the same number, without changing the value of the fraction. One half may be changed to two fourths, or three sixths, or ten twentieths, by multiplying both terms...
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Methods in Written Arithmetic

John Williston Cook - Arithmetic - 1883 - 200 pages
...fractions are equally applicable to them;' that is, numerator and denominator may be multiplied and divided by the same number without changing the value of the fraction, and when proficiency has been acquired in reducing them by the ordinary method, let them try the following:...
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University Algebra: Embracing a Logical Development of the Science with ...

Charles Davies - Algebra - 1889 - 330 pages
...its lowest terms, when the numerator and denominator contain no common factors. It has been shown, that both terms of a fraction may be divided by the same quantity, without altering its value. Hence, if they have any common factors, we may strike them out....
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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 390 pages
...fractions to their lowest terms, we may distinguish two cases: Since both numerator and denominator can be divided by the same number without changing the value of the fraction (Art. 87), we have the following RULE. Divide both numerator and denominator by any common factor....
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