 | 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... | |
 | Conley Plotts - 1848 - 276 σελίδες
...the quotient remains the same, (page 44) ; therefore, if the NUMERATOR and DENOMINATOR of a fraction be multiplied by the SAME NUMBER, the VALUE of the fraction will remain unaltered, since there is no difference in the quantities. On this principle we may multiply... | |
 | 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...without a 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... | |
 | 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
...its lowest 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...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,... | |
 | Charles Davies - 1850 - 412 σελίδες
...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 |- by 7. ^ T , 5 5 X 7 35... | |
 | 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
...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 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... 
