 | 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... | |
 | James Bates Thomson - Arithmetic - 1846 - 352 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... | |
 | James Bates Thomson - Arithmetic - 1846 - 400 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.... | |
 | 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,... | |
 | James Bates Thomson - Arithmetic - 1847 - 426 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... | |
 | 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... | |
 | Benjamin Greenleaf - Arithmetic - 1847 - 234 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... | |
 | James Bates Thomson - Arithmetic - 1848 - 434 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... | |
 | 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.... | |
 | Benjamin Greenleaf - Arithmetic - 1849 - 388 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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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. 
