 | 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 - 1834 - 288 pages
...together | and | . Those must he reduced to a common denominator. It has been shown above that if both numerator and denominator be multiplied by the same number, the value of the fraction will not be tillered. If both the numerator and denominator of the first fraction be multiplied by 7, and thc.~e... | |
 | Warren Colburn - Arithmetic - 1836 - 182 pages
...lowest terms. 12. Reduce f£ to its lowest terms. 13. Reduce |-f to its lowest terms. 14. Reduce ffi to its lowest terms. Note. It will be seen by the...without a remainder, the fraction will not be altered. SECTION XIV. A. 1. A BOY, having £ of an orange, gave away £ of that ; what part of the whole orange... | |
 | 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...without a remainder, the fraction will not be altered. SECTION XIV. A. 1. A BOY, having j of an orange, gave away 4 ot that ; what part of die whole orange... | |
 | Silas Totten - Algebra - 1836 - 332 pages
...lowest terms. Demonstration of the Rule. — By dividing the numerator and denominator of a fraction by the same number, the value of the fraction will not be altered, since the fraction is divided by dividing its numerator (21), and multiplied by dividing its denominator... | |
 | Mathematics - 1836 - 488 pages
...dividing the denominator, and visa versa. If the numerator and denominator be both multiplied, or divided by the same number, the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each fraction by the denominators... | |
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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... 
