 | George Leonard - 1841 - 356 pages
...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.... | |
 | Charles DAVIES (LL.D.) - Arithmetic - 1843 - 348 pages
...decrease from multiplying the denominator; hence we have, PROPOSITION V. If the 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 limes is the... | |
 | Charles Davies - Arithmetic - 1844 - 356 pages
...decrease from multiplying the denominator; hence we have, PROPOSITION V. If the 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 - 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... | |
 | 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 - 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... | |
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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. 
