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" It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be altered. If... "
An Introduction to Algebra Upon the Inductive Method of Instruction - Page 82
by Warren Colburn - 1828 - 276 pages
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...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 quotient arising...
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 350 pages
...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 simpler. Therefore,...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...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 simpler. Therefore,...
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A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard - 1841 - 356 pages
...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 simpler. Therefore,...
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An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 280 pages
.... •., ' XVIII. /. rSa ,2av'' a 3. Add together JJ and-. , A,. _-±— 4. Add together^ »d|«* 0 5. Add together f and f . These must be reduced to...and those of the second by 5, the fractions become f 1 and 1 j. They are now both of the same denomination, and their numerators may be added. The answer...
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An Introduction to Algebra upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 280 pages
...been shown above that if both numerator and denominator be multiplied by the same number, the vahie of the fraction will not be altered. If both the numerator...and those of the second by 5, the fractions become fj and if. They are now both of the same denomination, and their numerators may be added. The answer...
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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...denominator. Now it has been demonstrated that, if both terms of the fraction be multiplied or divided by the same number, the value of the fraction will not be affected Hence we infer, 1. If the terms of a ratio be multiplied or divided u^ same number, it does...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

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

James Bates Thomson - Arithmetic - 1846 - 354 pages
...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 - 402 pages
...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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