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" A fraction is not altered by multiplying or dividing both its numerator and denominator by the same quantity. "
On the study and difficulties of mathematics [by A. De Morgan]. - Side 25
av Augustus De Morgan - 1831
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Library of Useful Knowledge: Mathematics I.

1836 - 352 sider
...number by another, the remainder is measured by any number which measures the dividend and divisor. Л fraction is not altered by multiplying or dividing...quantity represented by letters in the denominator ; thus i aô+J is called a simple expression. We now proceed to the division of one simple expression by another,...
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Library of Useful Knowledge: On the study and difficulties of mathematics ...

1836 - 530 sider
...remainder is measured by any expression which measures the dividend and divisor. A fractional expression is not altered by multiplying or dividing both its numerator and denominator by the same expression. 2, 3, 4, &c. the coefficients of c. The extension of this rule would lead us to write с...
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The practical arithmetic

John Darby (teacher of mathematics.) - 1843 - 236 sider
...the numerator and denominator of the new fraction. NB The value of a vulgar fraction is not changed by multiplying or dividing both its numerator and denominator by the same number. EXAMPLES. 1 . Reduce j-| j- to its lowest terms. 125)235(1 125 110)125(1 110 15)110(7 105 5)15(3...
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Mathematics for practical men

Olinthus Gilbert Gregory - 1848 - 572 sider
...fractions have either one or both terms fractional 5$ 12 6i numbers, as gj, — , — , &c. The value of a fraction is not altered by multiplying or dividing both its numerator and denominator by the same number ; thus i» f» ili i|^> are a" equal, although successively multiplied by 2, 6, and 12. Any...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 sider
...quotient (1), wherefore - X - = — is the true quotient. ' ' ~>s 5th, A fraction is not altered in value by multiplying or dividing both its numerator and denominator by the same number. 2 12 24 . 2 For — X — = — , if these be each parts of a yard, the first -- o 14 00 24...
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Advanced arithmetic. [With] Key by W.M. Mansfield

Thomas W. Piper - 1874 - 352 sider
...any given integer, divide the numerator by it, or multiply the denominator by it. 59. THE VALUE OF A FRACTION is NOT ALTERED BY MULTIPLYING OR DIVIDING BOTH ITS NUMERATOR AND ITS DENOMINATOR BY THE SAME QUANTITY. Ex. 1. Multiplying the numerator and the denominator of •Z7ily...
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The engineers' manual of the Local marine examinations

Thomas Liddell Ainsley - 1880 - 866 sider
...зззЬ «^Wr 3- i"t; iooi T VV T ; loioi,»,; iiiiu}; 4 . iHtt; "«AW; 4ttHt; »ЛЛ 89. The value of a fraction is not altered by multiplying or dividing both its numerator and its denominator by the same quantity. I EXAMPLE. Let the length AB represent nnity, or one yard. Divido...
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The universal instructor, or, Self-culture for all, Volum 2

Ward, Lock and co, ltd - 1884 - 958 sider
...denomination. The ratio of 6 fi * 1 7 fin miles to 5 yards would therefore be — ^ — • 5 As the value of a fraction is not altered by multiplying or dividing both its numerator and its denominator by any number, it follows that a ratio is not altered in value by multiplying both...
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Elements of Algebra

Arthur Schultze - 1918 - 336 sider
...fractions in algebra are identical with the corresponding operations in arithmetic. Thus, the value of a fraction is not altered by multiplying or dividing both its numerator and its denominator by the same number; the product of two fractions is the product of their numerators...
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