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" It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If... "
An Introduction to Algebra Upon the Inductive Method of Instruction - Page 82
by Warren Colburn - 1828 - 276 pages
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 366 pages
...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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Treatise on Algebra, for the Use of Schools and Colleges

William Smyth - Algebra - 1855 - 370 pages
...properties in 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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New University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1856 - 450 pages
...of the 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 principles and practice of arithmetic

John Hind - 1856 - 346 pages
...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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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
...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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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...properties in relation to known and given numbers. 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 Progressive Intellectual Arithmetic, on the Inductive Plan: Being a ...

Horatio Nelson Robinson - 1859 - 208 pages
...number, the value of the fraction will be increased as many times as th'cre are units in the divisor. 6. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the fraction...
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The Progressive Intellectual Arithmetic on the Inductive Plan: Being a ...

Horatio Nelson Robinson - Arithmetic - 1860 - 190 pages
...number, the value of the fraction will be increased as many timos as there are units in the divisor. 6. If both numerator and denominator be multiplied by...same number, the value of the fraction will not be changed. 6. If both numerator and denominator be divided by the same number, the value of the fraction...
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Higher Arithmetic : Or, The Science and Application of Numbers: Combining ...

James Bates Thomson - Arithmetic - 1860 - 440 pages
...operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 146.) Thus, V— 3 ! now if the numerator and denominator are both multiplied by 2, the fraction...
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