 | 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... | |
 | 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,... | |
 | 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,... | |
 | Warren Colburn - 1824 - 292 σελίδες
...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 - 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... | |
 | 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,... | |
 | Warren Colburn - 1826 - 264 σελίδες
...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 - 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 will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will... | |
 | 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... | |
 | 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... | |
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If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. 
