 | Warren Colburn - Algebra - 1844 - 280 pages
...be reduced to 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... | |
 | Charles Davies - Arithmetic - 1846 - 362 pages
...decrease from multiplying the denominator; hence we have, PROPOSITION V. If tlie numerator and denominator of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. Q. If the numerator of a fraction be multiplied by a number, how many times is the... | |
 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...altered by this transformation, it is only necessary to demonstrate the following theorem : THEOR. If both terms of a fraction be multiplied by the same number, the value will not be altered. Let ab and a represent the numerator and denominator of an algebraic fraction... | |
 | James Bates Thomson - Arithmetic - 1846 - 354 pages
...denominator. (Arts. 112, 113.) 116. If the numerator and denominator are both, multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied by 2, the... | |
 | James Bates Thomson - Arithmetic - 1846 - 362 pages
...denominator. (Arts. 112, 113.) 11C. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Arts. 88, 109.) Thus, J5Z=3. Now if the numerator and denominator arc both multiplied by... | |
 | James Bates Thomson - Arithmetic - 1846 - 402 pages
...denominator. (Arts. 112, 113.) 116. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 88.) Thus, L2 = 3. Now if the numerator and denominator are both multiplied by 2, the... | |
 | Charles Davies - Arithmetic - 1847 - 368 pages
...multiplying the numerator will be just equal to the decrease from multiplying the denominator : hence we have, PROPOSITION V. If both terms of a fraction...by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1. Multiply the numerator and denominator of y by 7 : this gives yx7=ff.... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 pages
...operation upon a whole number. 191. If the numerator and denominator are both multiplied or both divided by the same number, the value of the fraction will not be altered. (Art. 146.) Thus, Jj2=3 ; now if the numerator and denominator are both multiplied by 2, the... | |
 | Warren Colburn - Arithmetic - 1847 - 170 pages
...Note. It will be seen by the above section thai if both the numerator and denominator be multi plied by the same number, the value of the fraction will not be altered ; or if they can both be divided by the same number without a remainder, the fraction will... | |
 | Charles Davies - Arithmetic - 1848 - 372 pages
...multiplying the numerator will be just equal to the decrease from multiplying the denominator: hence we have, PROPOSITION V. If both terms of a fraction...multiplied by the same number, the value of the fraction imll remain unchanged. ' EXAMPLES. 1. Multiply the numerator and denominator of y by 7: this gives... | |
| |
If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. 
