 | Warren Colburn - 1828 - 330 σελίδες
...fractions. j* i The 3d root of a5 is a5. The 3d root of a* is a*. The 5th root of a^ b* is a** b*°. If the numerator and denominator both be multiplied...raising it to a power, and then extracting the root. •j 1 If it is required to multiply a 3 by a , the fractions may be reduced to a common denominator... | |
 | Samuel Read Hall - 1832 - 294 σελίδες
...equal to 1 tenth, for a twentieth is one half of one tenth. Hence if both the numerator and denominator be multiplied, or divided by the same number, the value of the fraction mill not be altered. Fractions of the same value may therefore be expressed in an infinite... | |
 | A. Turnbull - 1836 - 368 σελίδες
...paragraph 181, by the natural proceM 297. It has been shown repeatedly that if both terms of a fraction be multiplied or divided by the same number, the value of the fraction is not altered ; therefore, in reducing compound fractions, if any of the numerators and denominators... | |
 | Warren Colburn - 1841 - 288 σελίδες
...common fi actions. The 3d root of a? is a*. The 3d root of «* is a*. The 5th root of a? $ is aT"T &**. If the numerator and denominator both be multiplied...reduced to a common denominator and added : thus, a* X a* = a* X a* = a* •=. a * = aa*. The same may be done in division and the exponents subtracted.... | |
 | Wales Christopher Hotson - 1842 - 306 σελίδες
...To 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... | |
 | Warren Colburn - 1844 - 280 σελίδες
...common fi actions. The 3d root of a* is a*. The 3d root of a? is a*. ' The 5th root of a* b* is OT*T 5". If the numerator and denominator both be multiplied...raising it to a power, and then extracting the root. 3. 4 10 a3 =aT =a">. - A If it is required to multiply a3 by a , the fractions may be reduced to a... | |
 | Davis Wasgatt Clark - 1844 - 394 σελίδες
...and 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^... | |
 | Davis Wasgatt Clark - 1846 - 374 σελίδες
...and 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... | |
 | Pliny Earle Chase - 1848 - 252 σελίδες
...3T^, or 3 ', the 3d root of 3* must be 3T'S. if the numerator and denominator of fractional indices be multiplied or divided by the same number, the value of the quantity is not altered. Thus, g$=3~*z=3*. For the multiplication of the numerator involves the number to a... | |
 | J L. Ellenberger - 1854 - 338 σελίδες
...the same number ; /i . ,io for instance, — - — —-. Therefore, if the terms of a fraction 84-2 4 be multiplied or divided by the same number, the value of the fraction will be unaltered. 103. EXERCISES. 1 . Multiplication of the terms of a fraction by the same... | |
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If the numerator and denominator both be multiplied or divided by the same number, the value of the quantity will not be altered ; for that is the same as raising it to a power, and then extracting the root. 
