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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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North American Arithmetic: Part Second and Part Third, Part 2

Frederick Emerson - Arithmetic - 1846 - 268 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
...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 - 398 pages
...mixed numbers ? Upon what principle does the method of dividing a fraction by a fraction, depend ? Why multiply the numerator of the dividend by the denominator of the divisor, &c. ? Why invert the divisor ? 25. Divide 74 by 2. 26. Divide 13 by f . 28. Divide ff by i1. Ans....
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Practical Arithmetic: Uniting the Inductive with the Synthetic Mode of ...

James Bates Thomson - Arithmetic - 1846 - 362 pages
...the true quotient. Now multiplying the numerator of the dividend by the denominator of the divisor, and the denominator of the dividend by the numerator of the divisor, is in effect reducing the two fractions to a common denominator. The object of inverting the divisor,...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1847 - 232 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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The American Arithmetic

James Robinson (of Boston.) - 1847 - 302 pages
...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 - 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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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 - 228 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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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1849 - 394 pages
...this question 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. RULE. — Invert the divisor, and proceed as in multiplication. If, however, there be mixed numbers...
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