 | 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 - 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 - 1826 - 264 pages
...must be multiplied by the denominators of the other fractions. In the above example to reduce f and T to a common denominator, 7 times 5 are 35 ; 7 is the...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator... | |
 | 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 - Arithmetic - 1828 - 288 pages
...numerators must be multiplied by the denominators of the other fraction^. In the above example to reduce f and ^ to a common denominator, 7 times 5 are 35 ;...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator... | |
 | 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... | |
 | Warren Colburn - 1829 - 258 pages
...must be multiplied by the denominators of the other fractions. In the above example to reduce | and 4 to a common denominator, 7 times 5 are 35 ; 7 is the...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact. if the numerator... | |
 | 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... | |
 | Warren Colburn - Arithmetic - 1831 - 262 pages
...above example to reduce j and % to a common de nominator, 7 times 5 are 35 ; 7 is the number by vt hich the first denominator 5 must be multiplied to produce...numerator and denominator can be divided by the same number, without a remainder, the value of the fraction will not be altered. In fact, if the numerator... | |
 | 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... | |
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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. 
