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" Both terms of a fraction may be divided by the same number without changing the value of the fraction. "
Social Arithmetic - Page 275
by Frank Morton McMurry, Charles Beverley Benson - 1926
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Arithmology; or, Theory of common arithmetic, fully proved without algebra

Solomon Edward CASPERSONN - Arithmetic - 1844 - 74 pages
...Since the fourth member is equal 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
...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 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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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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An Academic Arithmetic for Academies, High and Commercial Schools

Webster Wells - Arithmetic - 1893 - 360 pages
...40^. 9. 79ff. 10. 54Jf 11. 29ft 12. 58ff. 13. 37$f 14. 74f£ 15. 96ff 16. 127fi 17. 156£f 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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Plane and Solid Geometry: Suggestive Method

George Clinton Shutts - Geometry - 1894 - 412 pages
...auth. mA A mB ?. Compare and — . т В В Therefore — 272. COROLLARY. — Both terms of a ratio can be divided by the same number without changing the value of the ratio; also, both terms can be divided by the same quantity, provided it is a quantity of the same...
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A Textbook of Electric Lighting and Railways, Volume 1

International Correspondence Schools - Electric lighting - 1901 - 630 pages
...rnt alter the value of the ratio, since by the laws of fractions, both numerator and denominator may be divided by the same number without changing the value of the fraction. 1. /.— 8 48. A proportion may be read in two ways. The old way to read the above proportion was :...
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A Textbook on Steam Engineering, Volume 1

Engineering - 1902 - 514 pages
...not alter the value of the ratio, since by the laws of fractions, both numerator and denominator may be divided by the same number without changing the value of the fraction. //. 5, Vol. I.—S. 48. A proportion may be read in two ways. The old way to read the above proportion...
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Primary Arithmetic

David Eugene Smith - Arithmetic - 1904 - 336 pages
...changing the value of the fraction. i _ 3 times 1 _ 3 ' 2 = 3 times 2 = 6 ' Both terms of a fraction may be divided by the same number without changing the value of the fraction. 8 8+2 4 When the terms of a fraction are divided by the same number, that number is said to be canceled....
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