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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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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode ..., Book 5

James Bates Thomson - Arithmetic - 1846 - 348 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 divisors and the denominator of the dividend by the numerator of the divisor, in the same manner as...
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Higher Arithmetic: Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - 1847 - 422 pages
...divided by the numerator of the divisor. Thus, reducing the two fractions to a common denominator, we multiply the numerator of the dividend by the denominator of the divisor, and the numerator of the divisor by the denominator of the dividend; (Art. KOO;) and, then dividing...
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The American Arithmetic

James Robinson (of Boston.) - 1847
...of the dividend by the numerator of the divisor. If the two fractions have different denominators, multiply the numerator of the dividend by the denominator of the divisor, the product mill be the numerator of the quotient; then multiply the numerator of the divisor by the...
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Higher Arithmetic; Or, The Science and Application of Numbers: Combining the ...

James Bates Thomson - Arithmetic - 1848 - 422 pages
...divided by the numerator of the divisor. Thus, reducing the two fractions to a common denominator, we multiply the numerator of the dividend by the denominator of the divisor, and the numerator of the divisor by the denominator of the dividend ; (Art. 200 ;) and, then dividing...
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The North American Arithmetic: Part Second, Uniting Oral and Written ...

Frederick Emerson - Arithmetic - 1849 - 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, far a denominator....
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Rational arithmetic

Sarah Porter - 1852
...cancel its denominator, and then we divide the dividend by the numerator of the divisor. Or, simply, we multiply the numerator of the dividend by the denominator of the divisor for a new numerator, and multiply the denominator of the dividend by the numerator of the divisor for a...
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The Computist's Manual of Facts: And Merchant's and Mechanic's Calculator ...

Ezra S. Winslow - Business mathematics - 1853 - 252 pages
...therefore, RULE. — Write the divisor to the right of the dividend with the sign (-=-) between them ; then multiply the numerator of the dividend by the denominator of the divisor, for the numerator of the quotient, and the denominator of the dividend by the numerator of the divisor, for the denominator...
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The course of arithmetic as taught in the Pestalozzian school, Worksop ...

J L. Ellenberger - 1854
...I; therefore, }-5-5=,'s; and, therefore, Jrf = H = Hi. Therefore, to divide a fraction by another, multiply the numerator of the dividend by the denominator of the divisor, and divide the product, by the product of the numerator of the divisor by the denominator of the dividend....
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Legends of mount Leinster, by Harry Whitney

Patrick Kennedy - Folk literature, Irish - 1855 - 16 pages
...In the ordinary methods formerly used, the pupil when dividing one fraction by another was directed to multiply the numerator of the dividend by the denominator of the divisor, for a new dividend, and the other 2 numbers for a divisor : thus if \ be divided by \, 5 times 7 or 35,...
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Mental Arithmetic: Being an Introduction to His New System of Arithmetic on ...

Charles Guilford Burnham - 1859
...contained in any number as many times more than a unit as there are units in its denominator ; therefore, multiply the numerator of the dividend by the denominator of the divisor. A fraction whose numerator is greater than a unit is also contained in any number as many times less...
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