 | John Davidson, Robert Scott (writing master) - 1818 - 172 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.... | |
 | Leonhard Euler, John Farrar - 1821 - 216 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... | |
 | Silvestre François Lacroix - 1821 - 127 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 - 1824 - 267 σελίδες
...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 - 1825 - 372 σελίδες
...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 - 1825 - 144 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 - 1849 - 160 σελίδες
...Note. It will be seen by the above section that if both the numerator and denominator be multi plied by the same number, the value of the fraction will...divided by the same number without a remainder, the ft action will not be altered. • If this article should be found too difficult ft* the pupil, he... | |
 | Warren Colburn - 1826 - 245 σελίδες
...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 - 1828 - 172 σελίδες
...terms. 12. Reduce §•¿ to its lowest terms. 13. Reduce f £ to its lowest terms. 14. Reduce fä to its lowest terms, Note. It will be seen by the...section, that, if both the numerator and denominator be multi» plied by the same number, the value of the fraction will not be altered ; or, if they can both... | |
 | Warren Colburn - 1828 - 276 σελίδες
...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... | |
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