 | Isaac Dalby - Mathematics - 1806 - 526 pages
...both, and ihe result will be the answer. The rule is derived from this obvious principle, that, if the terms of a fraction are multiplied, or divided by the same number or quantity, its value is not altered. Thus, let ^ be the fraction : t'ien Kb ~ a"x~TA' lnert''Dre... | |
 | George G. Carey - Arithmetic - 1818 - 602 pages
...?.nd 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... | |
 | Etienne Bézout - Mathematics - 1824 - 238 pages
...fractions | and •£ 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... | |
 | Ferdinand Rudolph Hassler - Arithmetic - 1826 - 224 pages
...smaller than 7 x — 18 2 PROPOSITION HI. When the numerator and denominator of a fraction are both multiplied or divided by the same number, the value of the fraction remains unchanged, This is an evident consequence of the combination of the two preceding propositions,... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...OPPOSITE EFFECT FROM DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ?... | |
 | Samuel Read Hall - Arithmetic - 1832 - 294 pages
...to 1 tenth, for a twentieth is one half of one tenth. Hence if both the numerator and denominator be multiplied, or divided by the same number, the value of the fraction mill not be altered. Fractions of the same value may therefore be expressed in an infinite number of... | |
 | Civilization - 1832 - 406 pages
...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 - Arithmetic - 1836 - 368 pages
...paragraph 181, by the 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... | |
 | Mathematics - 1836 - 488 pages
...upon the value, as dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each... | |
 | James Thomson (LL.D.) - Arithmetic - 1837 - 296 pages
...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,... | |
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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
