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" If the numerator and denominator of a fraction be both multiplied or both divided by the same number, the value of the fraction is not altered. "
A Grammar School Arithmetic - Page 116
by George Albert Wentworth - 1894 - 346 pages
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...effect, as multiplying 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...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 402 pages
...effect, as multiplying 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...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 426 pages
...contrary to that of the 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...
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 432 pages
...contraction is evident from the principle, that if the numerator and denominator of a fraction are both divided by the same number, the value of the fraction is not altered. (Arts. 148, 191.) 19. Divide 18f by 6-f. Answer 3. 20. Divide i of f by f of -ft-. 23. Divide $ of...
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Higher Arithmetic, Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 432 pages
...contraction is evident from the principle, that if the numerator and denominator of a fraction are both divided by the same number, the value of the fraction is not altered. (Arts. 148,191.) 19. Divide 18f by 6f. Answer 3. 20. Divide i of f by -f of -fy. 23. Divide f of 7|...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 434 pages
...contrary to that of the samq operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of lite fraction will not be altered. (Art. 146.) Thus, Jja=3 ; now if the numerator and denominator are...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...equally 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...
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An Elementary Arithmetic ...

Calvin Tracy - 1851 - 214 pages
...is only £ the value of its eighth part. § Hii If the numerator and denominator of a fraction are both multiplied or both divided by the same number, the value of that fraction is not altered. ILLUSTRATION. ^=4 ; now if we multiply the terms of the fraction by 2...
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 368 pages
...orf-^3. Ex. XL (1) Divide | separately by 2, 3, 4, 5, 10. (2) Divide ^ separately by. 11, 20, 25, 45. 66. If the numerator and denominator of a fraction be...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...
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Elements of arithmetic for the use of schools

William Scott - Arithmetic - 1854 - 232 pages
...this reduction can be made by dividing both terms by their greatest common measure. The terms being divided by the same number, the value of the fraction is not changed (Art. 70. c.) ; and the terms are rendered prime to each other. (Art. 62.) A fraction, the...
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