 | Charles Davies - Arithmetic - 1848 - 372 pages
...from dividing the numerator will be just equal to the increase from dividing the denominator: hence we have, PROPOSITION VI. If both terms of a fraction be divided by the same number, the value of tJie fraction will remain unchanged. EXAMPLES. 1. Divide both terms of the fraction T 8 ^ by 4: this... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...divided or multiplied. And, hence, 8. If the numerator and denominator be eithtr BOTH multiplitd or BOTH divided by the same number, the value of the fraction will not be affected. REDUCTION. § 114. Let it be required to reduce a: to a fraction, whose denominator shall... | |
 | Rufus Putnam - Arithmetic - 1849 - 402 pages
...divided by its denominator. 77. If both the numerator and denominator of a fraction are multiplied or divided by the same number, the value of the fraction will not be altered, (74.) Thus, ^=f| = ff== ¥ = S=Í = 4; and¿i = íf = T\ = Í=i. The numerator and denominator... | |
 | Charles Davies - Arithmetic - 1850 - 412 pages
...from dividing the numerator will be just equal to the increase from dividing the denominator : hence we have, PROPOSITION VI. If both terms of a fraction...by the same number, the value of the fraction will remain unchanged. EXAMPLES. 1. Divide both terms of the fraction -j^- by 4 : this gives 2. Divide each... | |
 | Warren Colburn - Arithmetic - 1849 - 166 pages
...Note. It will be seen by the above section that if both the numerator and denominator be multiplied 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... | |
 | Benjamin Naylor - 1850 - 334 pages
...Ans. -i x4=14fj ; hence we see that if the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction will not be altered. ADDITION OF FRACTIONS. 1. Add J, j, I, and f. Ans y=»2. In this question we say, 1 part,... | |
 | James L. Enos - Mental arithmetic - 1851 - 144 pages
...result as the numerator of the new fraction. § 31. — If both, terms of the fraction be multipled or divided by the same number, the value of the fraction will not be changed ; because, by the operation, the number of the parts are increased in the same ratio that their size... | |
 | Charles Davies - 1852 - 344 pages
...fraction ia not changed ; therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. EXAMPLES. 1. Multiply the numerator a.nd denominator of f by 1 : 7X7 — 49 2. Multiply the numerator and denominator... | |
 | Barnard Smith - Arithmetic - 1854 - 368 pages
...therefore fraction in its lowest terms =ffJ. Reason for the aboce process, If the numerator and denominator of a fraction be divided by the same number, the value of the fraction is not altered (Art. 66) ; and the greatest number which will divide the numerator and denominator... | |
 | William Smyth - Algebra - 1855 - 370 pages
...relation to known and given iimrnbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be •changed. Let the proposed fraction be designated by -, and let n be any number whatever. Putting j- = m, we... | |
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If the numerator and denominator of each fraction is multiplied (or divided) by the same number, the value of the fraction will not change. 
