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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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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 402 pages
...the denominator. (Arts. 112, 113.) 116. 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. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied by 2, the fraction...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 354 pages
...the denominator. (Arts. 112, 113.) 116. 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. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied by 2, the fraction...
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...the denominator. (Arts. 112, 113.) 11C. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Arts. 88, 109.) Thus, J5Z=3. Now if the numerator and denominator arc both multiplied by 2, the fraction...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...same 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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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...divided or 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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The Speedy Calculator: Being a System of Arithmetic

Benjamin Naylor - 1850 - 334 pages
...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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Intellectual Arithmetic: Upon the Inductive Method of Instruction

Warren Colburn - Arithmetic - 1849 - 166 pages
...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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An Intellectual and Practical Arithmetic: Or, First Lessons in Arithmetical ...

James L. Enos - Mental arithmetic - 1851 - 144 pages
...result as the numerator of the new fraction. § 31. — If both, terms of the fraction be multipled or divided by the same number, the value of the fraction will not be changed ; because, by the operation, the number of the parts are increased in the same ratio that their...
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School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 344 pages
...fraction ia 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 the numerator a.nd denominator of f by 1 : 7X7 — 49 2. Multiply the...
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