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" It will be seen that we multiply the denominator of the dividend by the numerator of the divisor for the denominator of the quotient, and the numerator of the dividend by the denominator of the divisor for the numerator of the quotient. "
Mathematical Manual for the Use of Colleges and Academies - Page 34
by L. I. M. Chevigné - 1807
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Library of Useful Knowledge: Mathematics I.

Mathematics - 1836
...fraction, and divide the product by its numerator. Thus, 9 ;J° ' 19 92. When the dividend is a fraction, multiply the numerator of the dividend by the denominator of the divisor fur 10 „ 500 ле 5 — .50,— ,or55T. quotient is -7— ; for, multiplying this by ttie aenommator...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 390 pages
...(according to No. 8.), and divided by 5 (according to No. 9.). 18. To divide one fraction by another, multiply the numerator of the dividend by the denominator of the divisor, to find the numerator of the quotient; and, to find its denominator, multiply the denominator of the...
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The Common School Arithmetic ...: To which is Added a Dictionary of ...

Peirpont Edward Bates Botham - Arithmetic - 1837 - 238 pages
...the method already mentioned for reducing them to a common denominator. Hence the following rule : Multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor ; the first product will be the...
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Gradations in Algebra: In which the First Principles of Analysis are ...

Richard W. Green - Algebra - 1839 - 148 pages
...answer, and make no use at all of the denominators. Let us see then how we obtain these two terms. We multiply the numerator of the dividend by the denominator of the divisor ; and this becomes the numerator of the answer. And we multiply the numerator of the divisor by the...
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An Encyclopædia of Architecture: Historical, Theoretical, and Practical

Joseph Gwilt - Architects - 1842 - 1089 pages
...the quotient will be represented simply by the division of ad by be or bc. Hence the following rule : multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numcnrtor of the divisor, the first product will be the...
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An Introd. to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 276 pages
...oad ad ad b . cbcbc past of — - . 4ns. — . ft* . ad Hence, to divide a fraction by a fraction, multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. Or more generally, when the divisor...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 352 pages
...(according to No. 8), and divided by 5 (according to No. 9). 13. To divide one fraction by another, multiply the numerator of the dividend by the denominator of the divisor, to find the numerator of the quotient ; and, to find its denominator, multiply the denominator of the...
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North American Arithmetic: Part Second and Part Third, Part 2

Frederick Emerson - Arithmetic - 1846 - 216 pages
...Multiply numerator by numerator, and denominator by denominator. To divide a fraction by a fraction,— Multiply the numerator of the dividend by the denominator of the divisor, for a numerator; and multiply the denominator of the dividend by the numerator of the divisor, for a denominator...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 336 pages
...that no use is made of the common denominator itself. In practice, therefore, it is simply necessary to multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor, in the same manner as two fractions...
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Practical Arithmetic, Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 336 pages
...that no use is made of the common denominator itself. In practice, therefore, it is simply necessary to multiply the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor, in the same manner as two fractions...
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