 | 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... | |
 | Davis Wasgatt Clark - 1844 - 394 pages
...altered by this transformation, it is only necessary to demonstrate the following theorem : THEOK. 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... | |
 | Charles Davies - Arithmetic - 1846 - 378 pages
...will be just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1 . Multiply the numerator and denominator of y by 7. w , 5 5 x 7 35 We... | |
 | Charles Davies - Arithmetic - 1846 - 370 pages
...just equal to the decrease from multiplying the denominator ; hence we have, PROPOSITION V. If loth terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1 . Multiply the numerator and denominator of |- by 7. 5 5 x 7 35 We have,... | |
 | 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 - 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... | |
 | 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 - 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... | |
 | Charles Davies - Arithmetic - 1847 - 368 pages
...will be just equal to the decrease from multiplying the denominator : hence we have, PROPOSITION V. If both terms of a fraction be multiplied 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.... | |
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If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. 
