 | John Davidson, Robert Scott (writing master) - Arithmetic - 1818 - 190 pages
...increased proportionably. Whence, 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 - 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... | |
 | 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... | |
 | Charles Tayler - 1824 - 350 pages
...by the same number. For it follows from this, that if the numerator and denominator of a fraction be both divided by the same number, the value of the fraction will be •equally unaltered. This will appear more clear by means of the general fortnula ^ ; for, by dividing... | |
 | Warren Colburn - Algebra - 1825 - 400 pages
...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... | |
 | George Lees - 1826 - 276 pages
...the same numerator. Hence it follows, that if the numerator and denominator of a fraction, be either both multiplied, or both divided by the same number, the value of the fraction will remain unchanged. rp, 24,'_12_6_2 2_4_6_j!_ . US3T~I¥~9~3; 5~10~15-20' 43. From the preceding, it... | |
 | Warren Colburn - Arithmetic - 1827 - 186 pages
...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 - Algebra - 1828 - 330 pages
...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... | |
 | Arithmetic - 1829 - 196 pages
...|. = 4; equal to the value of 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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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
