 | Warren Colburn - Algebra - 1828 - 288 pages
...j5«6 ,, 2 a 4- 5 a & 4. Add together _ and . . . AM. - ! — -- 3cd Zed 3cd 5. Add together | and f . These must be reduced to a common denominator. It...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... | |
 | Warren Colburn - Arithmetic - 1828 - 186 pages
...It will be seen by the above section, that, if both the numerator and denominator be multi» plied 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... | |
 | Arithmetic - 1829 - 196 pages
...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... | |
 | Warren Colburn - 1829 - 258 pages
...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... | |
 | William Smyth - Algebra - 1830 - 278 pages
...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 T-... | |
 | Frederick Augustus Porter Barnard - Arithmetic - 1830 - 308 pages
...DIVIDING THE DENOMINATOK. Therefore, IF THE NUMERATOR AND DENOMINATOR BE BOTH MULTIPLIED, OR DIVIDED BY THE SAME NUMBER, THE VALUE OF THE FRACTION WILL. NOT BE ALTERED. MENTAL EXERCISES. $ XLII. 1. Which Fraction has the greatest value '-/ or | ? Ans. Neither, because... | |
 | Charles Davies - Arithmetic - 1833 - 284 pages
...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... | |
 | Warren Colburn - Algebra - 1836 - 286 pages
...-E — = — . cd cd* cd cd 4. Add together^- and IfL* Ans. 2a+5au. 3cd 3cd 3cd 5. Add together £ and 4. These must be reduced to a common denominator....be altered. If both the numerator and denominator cf the first fraction be multiplied by 7, and those of the second by 5, the fractions become fi and... | |
 | Warren Colburn - Arithmetic - 1836 - 190 pages
...lowest terms. Note. It will be seen by the above section, that, if both the numerator and denominator he 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 - Arithmetic - 1836 - 216 pages
...terms. 14. Reduce $£ to its 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 wilj not be altered ; or, if they can both be divided by the same number without a remainder, the fraction... | |
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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... 
