 | Archibald Montgomerie - 1857 - 116 σελίδες
...PUINCIPLES. 26. If the numerator and denominator of a fraction bo both multiplied by the same number, or both divided by the same number, the value of the fraction is not changed. 27. A fraction is multiplied by any quantity, cither by multiplying the numerator or dividing... | |
 | Isaac Todhunter - 1858 - 530 σελίδες
...number. (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 numerator... | |
 | Charles Davies - 1858 - 346 σελίδες
...hence, the value of the fraction is not changed : therefore, we have PROPOSITION VI. — If both terms of a fraction be divided by the same number, the value of the fraction wilL not b& cimnged. EXAMPLES. 1. Divide both terms of the fraction fg by 2 : this gives HEIHTCTTOlf... | |
 | 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 Rule,... | |
 | Charles Davies - 1863 - 346 σελίδες
...hence, the value of the fraction is not changed : therefore, we have PROPOSITION VI. — If both terms of a fraction be divided by the same number, the value of the fraction mil not be changed. Examples. 1. Divide both terms of the fraction T8^ by 2 : this gives ielTz = I... | |
 | Thomas Kimber - 1865 - 302 σελίδες
...- *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be multiplied by the same number, the value of the fraction is not altered. 4. Divide -0022498 by 2-67, and reduce — - to a decimal. 2s x 5s Find the value of -0625 of £21... | |
 | Isaac Todhunter - 1866 - 580 σελίδες
...number. (Arts. 133 and 134.) Thus T = 5— . And so also if the numerator and denominator of a 6 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 numerator... | |
 | 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 seen by considering... | |
 | Richard Nelson - 1867 - 304 σελίδες
...fraction J be multiplied by 2, and we have |-, a fraction of the same value as J. 198. If both terms of a fraction be divided by the same number, the value of the fraction will remain unaltered. Let 3 and 6 of the fraction $ be divided by 3, and we have 2, a fraction of... | |
 | 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 and... | |
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If both terms of a fraction be divided by the same number, the value of the fraction will remain unchanged. 
