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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. "
The science of arithmetic, by J. Cornwell and J.G. Fitch - Page 100
by James Cornwell - 1855
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1814 - 304 pages
....effect, as dividing the denominator. ; 140. It is also evident, from the preceding articles, that if the numerator and denominator be both multiplied, or both divided, by the same quantity, the value of the fraction not be altered. bx alx Sbx ibx $abx . ™™ T-iar-ir'Tr'Tar «*•...
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Arithmetic Modernised: Or, A Complete System of Arithmetic, Adapted to ...

John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...or increased 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
...the same numerator. 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,...
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The Practical Arithmetic: In which the Principles of Operating by Numbers ...

Arithmetic - 1829 - 196 pages
...effect will multiplying tin* BENOMINATOR have upon its VALUE ? dividing the DENOMINATOR? Why? What if the numerator and denominator be BOTH multiplied or BOTH divided by fhe SAME NUMBER ? What is multiplying by a fraction? How do you multiply by a FRACTION ? What will...
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The Penny Magazine of the Society for the Diffusion of Useful Knowledge

Civilization - 1832 - 406 pages
...which the rules most materially depend, is the following : If the numerator and denominator be either both multiplied or both divided by the same number, the value of the fraction is not altered. For example, take £ and multiply its numerator and denominator by 4, which gives -JJ-....
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...quantity, is dividing the value by that quantity, and dividing the denominator is multiplying the value. If the numerator and denominator be both multiplied or both divided, by the same quantity, the value of the fraction will not be altered. If the sign prefixed to a fraction, or all...
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Treatise on Arithmetic, in Theory and Practice: With an Appendix, Containing ...

James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...important properties which belong to all fractions : 1. If the terms of any fraction be both multiftlied, or both divided by the same number, the value of the fraction is not changed. 2. A fraction is multiplied by any number either by multiplying its numerator, or dividing...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...f by A-. 9. Divide f 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...
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A Practical Treatise on Arithmetic ...: Combining the Useful Properties of ...

George Leonard (jr.) - Arithmetic - 1841 - 350 pages
...again, of the same value as 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...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...again, of the same value as 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...
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