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" ... by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor. "
Ray's Algebra, Part First: On the Analytic and Inductive Methods of ... - Page 106
by Joseph Ray - 1848 - 240 pages
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Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - Arithmetic - 1813 - 358 pages
...of the divisor and of the dividend are equal, the quotient may be found by common Division, viz. by dividing the numerator of the dividend by the Numerator of the divisor, rejecting the common denominator entirely. As suppose £ to be dividend by £, 3 dividing 6 the quotient...
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Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - Arithmetic - 1826 - 232 pages
...the principles and propositions presented in the beginning, division may evidently be performed by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor. But as this operation would...
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A New System of Arithmetick: In which the Rules are Familiarly Demonstrated ...

William Ruger - Arithmetic - 1832 - 282 pages
...21-0X?=V> =40, the Answer. DEM. — It is evident, that division of fractions might be performed by dividing the numerator of the dividend by the numerator of the divisor, ami the denominator of the dividend by the denominator of the divisor; but as it would often give fractional...
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The Private Instructor, Or Mathematics Simplified: Comprising Every Thing ...

Jason M. Mahan - Arithmetic - 1839 - 312 pages
...of the divisor and of the dividend are equal, the quotient may be found by common division, viz. by dividing the numerator of the dividend by the numerator of the divisor: or this rule may be rendered more general, by reducing the fraction to a common denominator, and dividing...
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Gradations in Algebra in which the First Principles of Analysis are ...

Richard W. Green - Algebra - 1839 - 156 pages
...general that when the divisor and the dividend have a common denominator, the division is performed by dividing the numerator of the dividend by the numerator of the divisor. m. aca a3 a3 a* Thus, 1--rT-= — ; — ; — =— =a. bb ex x a3 EXAMPLES. ,. .. 4o . 26 A 4a 2o 1....
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Ruger's Arithmetick, with Questions and Answers: A New System of Arithmetick ...

William Ruger - Arithmetic - 1841 - 268 pages
...i,axi=jtia= 40, the Answer. DEM. — It is evident, that division of fractions might be performed by dividing the numerator of the dividend by the numerator of the divisor, and the denominator of the dividend by the denominator of the divisor ; but as it would often give...
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The American Arithmetic

James Robinson (of Boston.) - 1847 - 304 pages
...Hence it is plain, that one fraction can be divided by another, when they have a common denominator, by dividing the numerator of the dividend by the numerator of the divisor. When the two fractions have not a common denominator, and as the common denominator is not used in...
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Introduction to The National Arithmetic: On the Inductive System Combining ...

Benjamin Greenleaf - Arithmetic - 1849 - 336 pages
...common denominator, their denominators cancel each other, and the division may be performed by simply dividing the numerator of the dividend by the numerator of the divisor. EXAMPLES FOR PRACTICE. 2. Divide f by \ . 3. Divide | by £. 4. Divide |f by ^. 5. Divide § by TV...
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Introduction to the National Arithmetic ...

Benjamin Greenleaf - 1851 - 332 pages
...common denominator, their denominators cancel each other, and the division may be performed by simply dividing the numerator of the dividend by the numerator of the divisor. EXAMPLES FOE PRACTICE. 2. Divide I by f . Ans. Hf . 3. Divide f by £. Ans. 34. 4. Divide |f by -|£....
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...me . . , . a , TO . , , . a. . n na multiplying - by — inverted, that is -X — = — • y J ° c J n cm me An examination of each of these examples,...the numerator of the dividend, by the numerator of Hie divisor. But, as the common denominator of the fraction is not used in performing the division,...
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