| James Bates Thomson - 1847 - 426 σελίδες
...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 - 1849 - 172 σελίδες
...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...remainder, the fraction will not be altered. SECTION XIV. i A. 1 A BOY having £ of an orange gave away j of that, what part of the whole orange did he give... | |
| Rufus Putnam - 1849 - 402 σελίδες
...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 - 1849 - 348 σελίδες
...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 - 1849 - 166 σελίδες
...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...without a remainder, the fraction will not be altered. " If this article should be found too difficult for the pupil, he may omK It till after the next section.... | |
| Benjamin Naylor - 1850 - 334 σελίδες
...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 - 1851 - 156 σελίδες
...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 σελίδες
...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... | |
| Barnard Smith - 1854 - 368 σελίδες
...11, 20, 25, 45. 66. If the numerator and denominator of a fraction be both multiplied Or both divided by the same number, the value of the fraction will not be altered. Thus, if the numerator and denominator of the fraction f be multiplied by 3, the fraction resulting... | |
| William Smyth - 1855 - 370 σελίδες
...properties in 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... | |
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