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" It will be seen by the above section that if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered... "
An Introduction to Algebra Upon the Inductive Method of Instruction - Page 92
by Warren Colburn - 1830 - 276 pages
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Arithmetic Designed for Academies and Schools: With Answers

Charles Davies - Arithmetic - 1846 - 362 pages
...multiplying the denominator; hence we have, PROPOSITION V. If tlie numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many times is the...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 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, Jj2=3 ; now if the numerator and denominator are both multiplied by 2, the fraction...
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Intellectual Arithmetic, Upon the Inductive Method of Instruction

Warren Colburn - Arithmetic - 1847 - 170 pages
...Note. It will be seen by the above section thai if both the numerator and denominator be multi plied by the same number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will not be altered....
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The American Equater: Or, Arithmetic Simplified in which Equations are Used ...

Conley Plotts - Arithmetic - 1848 - 276 pages
...the quotient remains the same, (page 44) ; therefore, if the NUMERATOR and DENOMINATOR of a fraction be multiplied by the SAME NUMBER, the VALUE of the fraction will remain unaltered, since there is no difference in the quantities. On this principle we may multiply...
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American Common-school Arithmetic ...

Rufus Putnam - Arithmetic - 1849 - 402 pages
...its denominator. 77. If both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction will not be altered, (74.) Thus, ^=f| = ff== ¥ = S=Í = 4; and¿i = íf = T\ = Í=i. The numerator and denominator are...
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Colburn's First Lessons: Intellectual Arithmetic, Upon the Inductive Method ...

Warren Colburn - Mental arithmetic - 1849 - 172 pages
...Note. It will be seen by the above section that if both the numerator and denominator be multi plied by the same number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will not be altered....
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...multiplied. And, hence, 8. If the numerator and denominator be eithtr BOTH multiplitd or BOTH divided by the same number, the value of the fraction will not be affected. REDUCTION. § 114. Let it be required to reduce a: to a fraction, whose denominator shall...
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Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - Arithmetic - 1849 - 166 pages
...terms. 14. Reduce f J to its lowest terms. Note. It will be seen by the above section that if both the numerator and denominator be multiplied by the same...number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will not be altered....
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The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 334 pages
...twelfths? Ans. -i x4=14fj ; hence we see that if the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction will not be altered. ADDITION OF FRACTIONS. 1. Add J, j, I, and f. Ans y=»2. In this question we say, 1 part, and 3 parts,...
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1850 - 412 pages
...decrease from multiplying the denominator ; hence we have, PROPOSITION V. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1. Multiply the numerator and denominator of |- by 7. ^ T , 5 5 X 7 35...
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