 | Benjamin Donne - Algebra - 1758 - 428 pages
...by - which is the very fame as a Frac4 tion whofe Numerator is », and Denominator d. 549. Lemma i. If both the Numerator and Denominator of any Fraction be multiplied by one and the fame Number, we fhall have another Fraction of the fame Value as the firft. For it is evident,... | |
 | Warren Colburn - Arithmetic - 1824 - 292 pages
...the parts in each fraction, that is, the numerators, must be multiplied by the denominators of ths other fractions. In the above example to reduce |...numerator and denominator can be divided by the same number,*wivhout a remainder, the value of the fraction will not be altere'd. In fact, if-Uie numerator... | |
 | Warren Colburn - Algebra - 1825 - 400 pages
...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... | |
 | Warren Colburn - Arithmetic - 1827 - 186 pages
...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... | |
 | Warren Colburn - Algebra - 1828 - 330 pages
...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... | |
 | William Smyth - Algebra - 1830 - 278 pages
...certain properties in 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... | |
 | Charles Davies - Arithmetic - 1833 - 284 pages
...from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Thus, |=| X f =i| and 4=4 x |=||. § 119. It appears from Prop. II, that if the numerator... | |
 | Silas Totten - Algebra - 1836 - 320 pages
...— The demonstration of the preceding rule depends upon the following principle. If both terms of a fraction be multiplied by the same number, the value of the fraction is not altered ; for, by multiplying the numerator, the fraction is multiplied (20), and by multiplying... | |
 | Charles Davies - Arithmetic - 1838 - 292 pages
...from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many times is the fraction... | |
 | Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...from multiplying the denominator; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many limes is the fraction... | |
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If the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. 
