 | 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.... | |
 | Leonhard Euler - 1821 - 380 σελίδες
...to If. 57. It is also manifest that, if both the numerator and denominator of a fraction be divided, at the same time, by the same number, the value of the fraction witt not be altered ; for if, on the one hand, by dividing the numerator the fraction is made 2, 3,... | |
 | Silvestre François Lacroix - 1825 - 404 σελίδες
...^§. 57. It is also manifest that, if both the numerator and denominator of a fraction be divided, at the same time, by the same number, the value of...fraction will not be altered ; for if, on the one hand, by dividing the numerator the fraction is made 2, 3, &c. times smaller ; on the other, by the second... | |
 | Warren Colburn - 1825 - 400 σελίδες
...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... | |
 | Warren Colburn - 1827 - 186 σελίδες
...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 not be altered.... | |
 | Warren Colburn - 1828 - 330 σελίδες
...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... | |
 | 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... | |
 | Frederick Augustus Porter Barnard - 1830 - 308 σελίδες
...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, because... | |
 | William Smyth - 1830 - 278 σελίδες
...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-... | |
 | Warren Colburn - 1834 - 288 σελίδες
...a common denominator. It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be tillered. If both the numerator and denominator of the first fraction be multiplied by 7, and thc.~e... | |
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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... 
