 | Davis Wasgatt Clark - Algebra - 1846 - 374 pages
...denominator. Now it has been demonstrated that, if both terms of the fraction be multiplied or divided by the same number, the value of the fraction will not be affected. Hence we infer, 1. If the terms of a ratio be multiplied or divided by the same number, it... | |
 | 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 fraction... | |
 | 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 not be altered.... | |
 | Warren Colburn - Mental arithmetic - 1849 - 172 pages
...Note. It will be seen by the above section that 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 not be altered.... | |
 | Rufus Putnam - Arithmetic - 1849 - 402 pages
...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 are... | |
 | Stephen Chase - Algebra - 1849 - 348 pages
...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... | |
 | Warren Colburn - Arithmetic - 1849 - 166 pages
...terms. 14. Reduce f J to its lowest terms. 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 not be altered.... | |
 | Benjamin Naylor - 1850 - 334 pages
...twelfths? 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, and 3 parts,... | |
 | James L. Enos - Mental arithmetic - 1851 - 156 pages
...value of an improper fraction ? Why ? § 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
...of the 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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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... 
