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" If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. "
Putnam's Arithmetic - Page 91
by Rufus Putnam - 1849 - 264 pages
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 368 pages
...separately by. 11, 20, 25, 45. 66. If the numerator and denominator of a fraction be both multiplied Or both divided by the same number, the value of the fraction will not be altered. Thus, if the numerator and denominator of the fraction f be multiplied by 3, the fraction resulting...
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The course of arithmetic as taught in the Pestalozzian school, Worksop ...

J L. Ellenberger - 1854 - 338 pages
...same number ; /i . ,io for instance, — - — —-. Therefore, if the terms of a fraction 84-2 4 be multiplied or divided by the same number, the value of the fraction will be unaltered. 103. EXERCISES. 1 . Multiplication of the terms of a fraction by the same number. Multiply...
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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be •changed. Let the proposed fraction be designated by -, and let n be any number whatever. Putting...
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The principles and practice of arithmetic

John Hind - 1856 - 346 pages
...simple fractions. TRANSFORMATION OF FRACTIONS. 76. If the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction will not be altered. For, if the fraction f be multiplied by 5, the product is ^: and again if this be divided by 5, the...
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New University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1856 - 450 pages
...fraction is not changed : therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Multiply both terms of the fraction |- by 4, by 6, and by 5. 2. Multiply both...
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The Elements of Algebra

Elias Loomis - Algebra - 1856 - 280 pages
...common denominator. We have seen in Art. 79, that if both numerator and denominator are multiplied ty the same number, the value of the fraction will not be altered. If we multiply both the numerator and denominator of the first fraction by 7, and those of the second...
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 740 pages
...separately by 11, 20, 25, 45. 66. If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction will not be altered. Thus, if the numerator and denominator of the fraction £ be multiplied by 3, the fraction resulting...
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First Lessons in Arithmetic: Being an Introduction to the Complete Treatise ...

Claudius Crozet - Arithmetic - 1857 - 192 pages
...are exactly equal in value to the original ones ; because : If both terms of a fraction are either multiplied or divided by the same number, the value of the fraction remains the same ; its form alone is changed. (LXIII.) * I have purposely used here the word denomination...
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The Educational record, with the proceedings at large of the ..., Volumes 3-4

British and foreign school society - 1857 - 548 pages
...fraction, decimal fraction, mixed number, and complex fraction. Prove that if the terms of a fraction be multiplied or divided by the same number, the value of the fraction ia not altered. 3. What is the meaning of a decimal system of coinage, and show by means of an example...
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School Arithmetic: Analytical and Practical

Charles Davies - Arithmetic - 1858 - 346 pages
...the fraction is not changed : therefore, we have PROPOSITION VI. — If both terms of a fraction be divided by the same number, the value of the fraction wilL not b& cimnged. EXAMPLES. 1. Divide both terms of the fraction fg by 2 : this gives HEIHTCTTOlf 2. Divide...
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