 | John Davidson, Robert Scott (writing master) - 1818 - 190 σελίδες
...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 - 1821 - 160 σελίδες
...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 - 1821 - 380 σελίδες
...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 - 1825 - 400 σελίδες
...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 - 1825 - 404 σελίδες
...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 - 1826 - 176 σελίδες
...both the numerator and denominator be multiplied by the same number, the value of the fraction wUl not be altered ; or if they can both be divided by...without a. remainder, the fraction will not be altered. * If this article should be found too difficult for the pupil, he may omit it till after the next section.... | |
 | Warren Colburn - 1827 - 186 σελίδες
...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...without a remainder, the fraction will not be altered. * If this article should be found too difficult for the pupil, he may omit it till after the next section.... | |
 | Warren Colburn - 1828 - 330 σελίδες
...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 - 1828 - 288 σελίδες
...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... | |
 | 1829 - 196 σελίδες
...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... | |
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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... 
