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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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Handbook of the Steam-engine: Containing All the Rules Required for the ...

Steam-engines - 1865 - 580 pages
...the method of reduction already explained. This result, expressed in words, will be as follows : — Multiply the numerator of the dividend by the denominator of the divisor for the new numerator, and the denominator of the dividend by the numerator of the divisor for the new denominator....
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The Foreign and Domestic Commercial Calculator; Or, A Complete Library of ...

Ezra S. Winslow - Business mathematics - 1867 - 232 pages
...quotient. RULE. — Write the divisor to the right of the dividend with the sign (-J-) 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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Intermediate Arithmetic: For Use in the Common Schools and Academies of the ...

Paul Allen Towne - Arithmetic - 1867 - 240 pages
...times; nowf are 5 times }; hence, ^ are contained in |, 4 of ^'-, that is, |¿, or 1 /„ times. BULE. 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 former product is the numerator,...
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The Universal Modern Cambist, and Foreign and Domestic Commercial Calculator

Ezra S. Winslow - Business mathematics - 1872 - 256 pages
...therefore, RULE. — Write the divisor to the right of the dividend with tho 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 Rudiments of Arithmetic: Embracing Mental and Written Exercises for ...

Joseph Ray - Arithmetic - 1866 - 212 pages
...CONCLUSION. — Therefore, the quotient of | -j- § is | = 1 J. This quotient may be obtained by multiplying 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 of...
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Handbook of the Steam-engine

John Bourne - Steam-engines - 1873 - 508 pages
...the method of reduction already explained. This result, expressed in words, will be as follows : — Multiply the numerator of the dividend by the denominator of the divisor for the new numerator, and the denominator of the dividend by the numerator of the divisor for the new denominator....
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Outlines of Astronomy

Arthur Searle - Astronomy - 1874 - 492 pages
...equal to that of R2 divided by r*. The arithmetical rule for the division of one fraction by another is to 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 of...
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Annual report of the superintendent of public instruction. 31st ..., Issue 32

New Hampshire dept. of publ. instruction - 1878 - 310 pages
...and denominator of the divisor respectively, when it can be done without a remainder. II. Otherwise, multiply the numerator of the dividend by the denominator of the divisor for the numerator of the quotient, and multiply the denominator of the dividend by the numerator of the divisor for the denominator...
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Ray's Elementary Arithmetic: Embracing Mental and Written Exercises, for ...

Joseph Ray - Arithmetic - 1879 - 200 pages
...CONCLUSION. — Therefore, the quotient of J -s- $ is f = 1 \. These quotients may be obtained by multiplying 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 of...
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Bradbury's Eaton's Practical Arithmetic ...

William Frothingham Bradbury - 1882 - 416 pages
...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. Hence, To divide a fraction by a fraction, Rule. Invert the divisor and proceed as in multiplication...
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