...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...

...(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...

...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,...

...equating values of x in (1) and (4), o" = a". Hence, 1. — If both terms of a fractional exponent be multiplied or divided by the same number, the value of the expression will not b« altered. From (333) we have J = Va-, IM* and aar = "!^amr . Hence, 2. — If...

...Hence, 2. — Jf Loth the index of a radical and the exponent of the quantity under the radical sign be multiplied or divided by the same number, the value of the expression will not be altered. 1. Ilcducc (ab~)~ and (a'x) to a common index. (06 )* = (oft )* = (<*•&')*)...

...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,...

...- *)> 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...

...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...

...(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 numerator...

...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...