 | Warren Colburn - Arithmetic - 1824 - 292 pages
...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 by the... | |
 | 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
...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 by the... | |
 | 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... | |
 | Warren Colburn - 1829 - 258 pages
...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 by the... | |
 | William Smyth - Algebra - 1830 - 278 pages
...demonstrating 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... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...decimals. Another mode of explaining the above operation may be given. 13. Change Jg to a decimal. If both numerator and denominator of- a Fraction be multiplied by the same . number, the value will not be altered, (§ XLI.) I may therefore multiply both the 7 and the 16 in the above Fraction,... | |
 | Charles Davies - Arithmetic - 1833 - 284 pages
...will be just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If the numerator and denominator of a fraction be...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 - 360 pages
...Demonstration. — 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... | |
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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. 
