| John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...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... | |
| 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,... | |
| 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,... | |
| Warren Colburn - Arithmetic - 1824 - 292 pages
...multiplied. NB It appears from the above reasoning, that if Both the numerator and denominator of any **fraction be multiplied by the same number, the value of the fraction will** remain the same. It will follow also from this, that if both numerator and denominator can be divided... | |
| Warren Colburn - Algebra - 1825 - 400 pages
...denominator. Arith. 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... | |
| 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 - Arithmetic - 1826 - 264 pages
...multiplied. NB It appears from the above reasoning, that if both the numerator and denominator of any **fraction be multiplied by the same number, the value of the fraction will** remain the same. It will follow also from this, that if both numerator and denominator can be divided... | |
| Warren Colburn - Arithmetic - 1827 - 186 pages
...lowest terms. 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 - 326 pages
...denominator. Arith. 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... | |
| Warren Colburn - Algebra - 1828 - 288 pages
...common denominator. It has been shown above that if both numerator and denominator be •nultiplied **by the same number, the value of the fraction will not be** altered. If both the numerator and denominator of the first fraction be multiplied by 7, and those... | |
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