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" If the numerator and denominator are both, multiplied or both divided by the same number, the value of the fraction will not be altered. "
Elements of algebra, compiled from Garnier's French translation of L. Euler ... - Page 37
by Charles Tayler - 1824
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...proportionably. Whence, it follows, that 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, |=•=ja=£a», &c. And on these principles the greater part of the following...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 pages
...Hence it follows, that if the numerator and denominator of a fraction, be either both multiplied, or both divided by the same number, the value of the fraction will remain unchanged. rp, 24,'_12_6_2 2_4_6_j!_ . US3T~I¥~9~3; 5~10~15-20' 43. From the preceding, it...
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 196 pages
...the value of the original fraction. Hence, ^8. If the numerator and denominator be BOTH multiplied or BOTH divided by the same number, the VALUE of the fraction Will NOT BE ALTERED. THIS is an evident consequence of the combination of the two foregoing articles, in...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...by}. 10. Divide i| by i. 8. 7/. t^e numerator and denominator of any fraction be both multiplied or both divided by the same number, the value of the fraction will not be altered. Of this principle no explanation is necessary. The value of the fraction being the...
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The elements of algebra

James Wood - Algebra - 1841 - 492 pages
...same number, its value is not altered. 'p, 5 15 15° , Thus — = — = , Sic.* 14 42 420 COR. Hence, if the numerator and denominator of a fraction be both divided by the same number, its value is not 150 15 5 altered ; since — = — = — . 420 42 14 REDUCTION. The operation by which...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...f, but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is...
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A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard - 1841 - 356 pages
...f, but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is...
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 350 pages
...f, but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is...
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...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
...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 by...
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