| 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=£a», &c. And on these principles the greater part of the following rules are founded.... | |
| 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, so... | |
| 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, so... | |
| Warren Colburn - Algebra - 1825 - 400 pages
...fraction, ) ' ^ the 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 denominator... | |
| 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, so... | |
| Warren Colburn - Algebra - 1828 - 330 pages
...fraction, J ivi e {the 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 denominator... | |
| 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 of the second... | |
| Warren Colburn - Mental arithmetic - 1829 - 180 pages
...lowest terms. 13. Reduce -££ to its lowest terms. 14. Reduce f£ to its lowest terms. Note. It \vili be seen by the above section, that, if both the numerator...without a remainder, the fraction will not be altered. • Tf lili» unirle should he (rijiid tan dilficiilt kit ri« pupil, lie m«y «wiiit il lili nftcr... | |
| Arithmetic - 1829 - 196 pages
...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 the multiplication... | |
| William Smyth - Algebra - 1830 - 278 pages
...properties in 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-... | |
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