 | James Bates Thomson - Arithmetic - 1846 - 362 pages
...the 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 - 1847 - 426 pages
...same 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... | |
 | Pliny Earle Chase - Arithmetic - 1848 - 252 pages
...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... | |
 | Rufus Putnam - Arithmetic - 1849 - 402 pages
...its numerator 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... | |
 | 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 be a. X '... | |
 | 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... | |
 | 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... | |
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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. 
