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" Hence if the numerator and denominator of a fraction be multiplied by the same number the value of the fraction is not altered. "
Algebra - Page 53
by Isaac Todhunter - 1858 - 496 pages
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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1846 - 370 pages
...equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If loth 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. 5 5 x 7 35...
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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1847 - 368 pages
...equal to the 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 y by 7 : this gives yx7=ff....
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Higher Arithmetic: Or, The Science and Application of Numbers; Combining the ...

James Bates Thomson - Arithmetic - 1847 - 432 pages
...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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The American Equater: Or, Arithmetic Simplified in which Equations are Used ...

Conley Plotts - Arithmetic - 1848 - 276 pages
...divisor are both multiplied by the same quantity, 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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Arithmetic: Designed for Academies and Schools, Uniting the Inductive ...

Charles Davies - Arithmetic - 1848 - 372 pages
...equal to the 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 imll remain unchanged. ' EXAMPLES. 1. Multiply the numerator and denominator of y by 7: this gives...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 434 pages
...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. QCEST.— 232. How divide fractions by cancelation...
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Higher Arithmetic, Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 432 pages
...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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The University Arithmetic: Embracing the Science of Numbers, and Their ...

Charles Davies - Arithmetic - 1850 - 412 pages
...equal to the 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...
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School Arithmetic: Analytical and Practical

Charles Davies - 1852 - 344 pages
...hence, the value of the 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....
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Arithmetic for Schools

Barnard Smith - Arithmetic - 1854 - 368 pages
...terms =ffJ. Reason for the aboce process, If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered (Art. 66) ; and the greatest number which will divide the numerator and denominator is their greatest...
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