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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. "
The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ... - Page 94
by Zadock Thompson - 1838 - 164 pages
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The North American Arithmetic: For Advanced Scholars. part third

Frederick Emerson - Arithmetic - 1839 - 300 pages
...multiply the denominator of the dividend by the numerator of the divisor for a new denominator, and the numerator of the dividend by the denominator of the divisor for a new numerator. Compound fractions are to be reduced to simple ones, and mixed numbers to improper fractions, before...
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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 Encyclopędia 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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Arithmetical Spyglass and Teacher's Assistant: Intended as a Key and ...

Charles Waterhouse - Arithmetic - 1842 - 166 pages
...dividend and then removed by multiplying the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. EXAMPLE. — Divide f by £ . Operation by the rule ; thus, £ Xf=f£=2, Ans. Demonstration of 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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Introduction to The National Arithmetic, on the Inductive System: Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 184 pages
...perceived, that the numerator of the dividend has been multiplied by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. Hence the following RULE. Invert the divisor and proceed as in multiplication. If, however, there be...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...dividend, and then removed by multiplying the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. Questions. — How do you proceed in division of fraction! T — Why do you invert the divisor ? —...
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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 208 pages
...perceived, that the numerator of the dividend has been multiplied by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor. - Hence the following RULE. Invert the divisor and proceed as in multiplication. If, however, there...
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An Introd. to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1844 - 276 pages
...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 is a fraction, multiply the dividend (whether whole number or fraction)...
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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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