 | 1829 - 196 σελίδες
...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 σελίδες
...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 - 1830 - 278 σελίδες
...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 - 1830 - 308 σελίδες
...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... | |
 | Warren Colburn - 1831 - 282 σελίδες
...fraction, J ' " " ( the denominator. Arith. Art. XVIII. Reducing Fractions to Lower Terms. XVII. yboth numerator and denominator be multiplied by the same number, the value of the fraction wul not be altered. Arith. Art. XIX. For multiplying the numerator multiplies the fraction, and multiplying... | |
 | Charles Davies - 1833 - 284 σελίδες
...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 - 1834 - 288 σελίδες
...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 - 1836 - 182 σελίδες
...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 - 1836 - 190 σελίδες
...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... | |
 | Warren Colburn - 1836 - 216 σελίδες
...lowest terms. 12. Reduce §| to its lowest terms. 13. Reduce \$ to its lowest terms. 14. Reduce $£ to its lowest terms. Note. It will be seen by the...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... 
