| John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...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=£ağ, &c. And on these principles the greater part of the following rules... | |
| Leonhard Euler - Algebra - 1821 - 380 pages
...it results, that, ifbsth the numerator and denominator of a fraction be multiplied at the same time, **by the same number, the value of the fraction will not be** altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,... | |
| Silvestre François Lacroix - Arithmetic - 1821 - 160 pages
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, **by the same number, the value of the fraction will not be** altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,... | |
| Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...results, that, if both the numerator and denominator of a fraction be multiplied at the same time, **by the same number, the value of the fraction will not be** altered ; for if, on the one hand, multiplying the numerator makes the fraction 2, 3, &c. times greater,... | |
| Warren Colburn - Algebra - 1825 - 400 pages
...Art. XVIII. Reducing Fractions to Lower Terms. XVII. If both numerator and denominator be multiplied **by the same number, the value of the fraction will not be** altered. Arith. Art. XIX. For, multiplying the numerator multiplies the fraction, and multiplying the... | |
| Warren Colburn - Arithmetic - 1827 - 186 pages
...Note. It will be seen by the above section that if both the numerator and denominator be multiplied **by the same number, the value of the fraction will not be** altered ; or if they can both be divided by the same number without a remainder, the fraction will... | |
| Warren Colburn - Algebra - 1828 - 330 pages
...Art. XVIII. Reducing Fractions to Lower Ter.ns. XVII. If both numerator and denominator be multiplied **by the same number, the value of the fraction will not be** altered. Arith. Art. XIX. For multiplying the numerator multiplies the fraction, and multiplying the... | |
| Arithmetic - 1829 - 196 pages
...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 which... | |
| William Smyth - Algebra - 1830 - 278 pages
...relation to known and given numbers. if To demonstrate that if both terms of a fraction be multiplied **by the same number, the value of the fraction will not be changed.** Let the proposed fraction be designated by p and let n be any number whatever. Putting T- = m, we have... | |
| Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...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 | ? Ans. Neither,... | |
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