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" Multiplying or dividing both the numerator and denominator of a fraction by the same number does not change the value of the fraction. "
Elements of Geometry: With Practical Applications, for the Use of Schools - Page 42
by Timothy Walker - 1829 - 129 pages
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 380 pages
...terms, or its numerator and denominator, by the same number. For from this it follows also, that if we divide the numerator and denominator of a fraction by the same number, the fraction still preserves the same value. This is made more evident by means of the general expression...
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Struttura urbana della architettura

Cesare Blasi - Architecture - 1824 - 756 pages
...of the numerator being less than the denominator. The consequence of this is, that to multiply both the numerator and denominator of a fraction by the same number, does not alter its value; and, therefore, to convert a vulgar fraction into a decimal one, we have only to multiply the numerator...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 394 pages
...terms, or its numerator and denominator, by the same number. For from this it follows also, that if we divide the numerator and denominator of a fraction by the same number, the fraction still preserves the same value. This is made more evident by means of the general expression...
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The Arithmetical Manual

Samuel Read Hall - Arithmetic - 1832 - 288 pages
...operations of addition, subtraction, &c. I. Reduce ff § to its lowest terms. As dividing the two terms of a fraction by the same number does not alter its value, we may here divide the 288 and 480 by any number that will divide both without a remainder. 12 We first...
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A Practical and Theoretical System of Arithmetic...: Also, a Treatise on ...

George Willson - Arithmetic - 1836 - 192 pages
...4. Reduce |||-| to its lowest terms. Ans, J. It is obvious, that either multiplying or dividing both the numerator and denominator of a fraction by the same number, does not change its value. Thus, -| multipled continually by 2 becomes f-, -|, fg, ^-|, -||-, -££g, and .so...
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A Practical and Theoretical System of Arithmetic: Containing a New System of ...

George Willson - Arithmetic - 1838 - 194 pages
...Ans. . 4. Reduce j[^ to its lowest terms. Ans' It is obvious, that either multiplying or dividing both the numerator and denominator of a fraction by the same number, does not change its value. Thus, .£ multipled continually by 2 becomes \ , A, f%, J-|, |f, 1^, and so on ;...
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The English Journal of Education, Volumes 8-9

Education - 1854 - 884 pages
...working this t Do it mentally. Show by measure (having divided a line into equal parts), that to multiply the numerator and denominator of a fraction by the same number does not alter their value, and results in the same length or quantity. Explain how that fact facilitates the addition...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 434 pages
...denominator of each of the given fractions, are multiplied by the same numbers ; and multiplying both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, -J-, and -f- to a common denominator. 64. Reduce f, i, -f, and -f to...
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Higher Arithmetic: Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1847 - 424 pages
...denominator of each ofthe given fractions, are multiplied by the same number: ; and multiplying » both the numerator and denominator of a fraction by the same number, does not alter its value. (Art. 191.) 63. Reduce -f, f, •}-, and f to a common denominator. 04. Reduce f, i, f , and f to a...
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Practical arithmetic for the use of adults

P. Fletcher - Arithmetic - 1848 - 138 pages
...different denominators to the same denominator, or finding a common denominator. We know that to multiply the numerator and denominator of a fraction by the same number, does not alter the value of the fraction ; and knowing this, our work is simple. We have but to multiply the whole...
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