 | George G. Carey - 1818 - 602 σελίδες
...denominator be both »increased or diminished in the same proportion, that is, if they arc both multiplied or divided by the same number, the value of the fraction is not altered ; therefore every Vulgar Fraction may be expressed in a variety of forms, and yet retain the... | |
 | John Davidson, Robert Scott (writing master) - 1818 - 190 σελίδες
...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... | |
 | Etienne Bézout - 1824 - 238 σελίδες
...•£ are equivalent to A and ^ ; for, if the numerator or denominator of a fraction is multiplied or divided by the same number, the value of. the fraction is not changed. But, -^ is greater than T*j, the fraction ^ is then gi eater than the /faction |.. For, a fraction... | |
 | George Lees - 1826 - 276 σελίδες
...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,... | |
 | 1829 - 196 σελίδες
...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,... | |
 | 1832 - 406 σελίδες
...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-. In... | |
 | A. Turnbull - 1836 - 368 σελίδες
...natural proceM 297. It has been shown repeatedly that if both terms of a fraction be multiplied or divided by the same number, the value of the fraction is not altered ; therefore, in reducing compound fractions, if any of the numerators and denominators can... | |
 | James Thomson (LL.D.) - 1837 - 296 σελίδες
...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 Us denominator,... | |
 | Calvin Tracy - 1840 - 326 σελίδες
...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... | |
 | George Leonard - 1841 - 356 σελίδες
...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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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. 
