 If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change.  Putnam's Arithmetic - Page 91by Rufus Putnam - 1849 - 264 pagesFull view - About this book
 | Calvin Tracy - Arithmetic - 1840 - 326 pages
...10. Divide i| by i. 8. 7/. t^e numerator and denominator of any fraction be both multiplied or both divided by the same number, the value of the fraction will not be altered. Of this principle no explanation is necessary. The value of the fraction being the quotient arising... | |
 | George Leonard (jr.) - Arithmetic - 1841 - 350 pages
...but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler. Therefore,... | |
 | George Leonard - 1841 - 356 pages
...but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler. Therefore,... | |
 | George Leonard - Arithmetic - 1841 - 354 pages
...but in a simpler form. So, if the denominator and numerator of a fraction be both multiplied, or both divided by the same number, the value of the fraction will not be altered ; but if both be divided by the same number, without a remainder, the new fraction is simpler. Therefore,... | |
 | Charles Bathurst (schoolmaster.) - 1842 - 158 pages
...liy the fraction as the integer was divided into, thus §, g, -JJ, &c. are all equal to 1. When lioth the numerator and denominator of a fraction are multiplied...divided by the same number, the value of the fraction is not altered ; thus, J is the same as |-, J, £, &c. where both numerator and denominator are multiplied... | |
 | Wales Christopher Hotson - 1842 - 306 pages
...divide a fraction by a given number . . 3 13 If both the numerator and denominator of a fraction be multiplied or divided by the same number, the value of the fraction is not altered . . . . 4 14 To express an integer as a fraction having a given denominator .. .. ..... | |
 | John Darby (teacher of mathematics.) - 1843 - 236 pages
...derived from the ||, or |-. Consequently, if the numerator and denominator of the same fraction be cither multiplied or divided by the same number, the value of the fraction is neither increased nor decreased. 2. Reduce 2£ to an improper fraction. Here, as any number may... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...the consequent the denominator. Now it has been demonstrated that, if both terms of the fraction be multiplied or divided by the same number, the value of the fraction will not be affected Hence we infer, 1. If the terms of a ratio be multiplied or divided u^ same number, it does... | |
 | Warren Colburn - Algebra - 1844 - 280 pages
...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 altered. If both the numerator and denominator of the first fraction be multiplied by 7, and those of the second... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...the consequent the denominator. Now it has been demonstrated that, if both terms of the fraction be multiplied or divided by the same number, the value of the fraction will not be affected. Hence we infer, 1. If the terms of a ratio be multiplied or divided by the same number, it... | |
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