 | Claudius Crozet - 1857 - 192 σελίδες
...are exactly equal in value to the original ones ; because : If both terms of a fraction are either multiplied or divided by the same number, the value of the fraction remains the same ; its form alone is changed. (LXIII.) * I have purposely used here the word denomination... | |
 | British and foreign school society - 1857 - 548 σελίδες
...fraction, decimal fraction, mixed number, and complex fraction. Prove that if the terms of a fraction be multiplied or divided by the same number, the value of the fraction ia not altered. 3. What is the meaning of a decimal system of coinage, and show by means of an example... | |
 | Isaac Todhunter - 1858 - 530 σελίδες
...(Arts. 133 and 134). Thus т = т- ' And so also if the numerator and denominator of a b be fraction be divided by the same number the value of the fraction is not altered. 136. Hence, an Algebraical fraction may be reduced to another of equal value by dividing both... | |
 | Chambers W. and R., ltd - 1859 - 344 σελίδες
...The rules are founded on the principle formerly stated, that when both the terms of a fraction are divided by the same number, the value of the fraction is not altered. The division of the terms of a fraction by any MEASURE is called cancellin9. In applying the... | |
 | George Heppel - 1864 - 234 σελίδες
...denominator, or divide the numerator. Consequently, if both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction will be unaltered. Thus— f_!,> _5O 25 _275 5!, 10 ~BO~ 40 "" 440 88" It is evidently convenient,... | |
 | John Purdue Bidlake - 1866 - 232 σελίδες
...OBS. — Prom this it will be evident that, if both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction is unaltered. For by multiplying both numerator and denominator by the same number, the number of the... | |
 | Isaac Todhunter - 1866 - 618 σελίδες
...(Arts. 133 and 134.) Thus - = — . And so also if the numerator and denominator of a о be fraction be divided by the same number the value of the fraction is not altered. 136. Hence, an Algebraical fraction may be reduced to another of equal value by dividing both... | |
 | Charles Elsee - 1866 - 300 σελίδες
...of great importance : — If the numerator and denominator of a fraction l>e both multiplied or both divided by the same number, the value of the fraction is not altered. Thus Y| is equal to -, or ^, or * or to — , — , &c. The truth of the principle may be... | |
 | Neil Arnott - 1867 - 84 σελίδες
...quotient, namely one (1). § 33. (b) If both terms (numerator and denominator) of a fraction are either multiplied or divided by the same number, the value of the fraction is not changed. Thus f. so multiplied by 2 becomes |- (four sixths), equal to •§-—if multiplied by 4 it becomes... | |
 | Richard Dunkley Beasley - 1867 - 226 σελίδες
...therefore } = $. Conversely, since j, = |, we see that if the numerator and denominator of a fraction are divided by the same number, the value of the fraction is not altered. 15. To reduce a fraction to its lowest terms, that is, to an equivalent fraction whose numerator... | |
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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
