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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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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1828 - 276 pages
...— and £- is -,bad ad ad o part of *£. ^w. 6_£. ad 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 ihe divisor...
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Conkling's Arithmetic: The Young Arithmetician's Guide to a Knowledge of ...

Thomas Conkling (W.) - Arithmetic - 1831 - 275 pages
...VULGAR FRACTIONS. RULE. Prepare the fractions, if need be, as before directed in multiplication; then, multiply the numerator of the dividend by the denominator of the divisor, for a new numerator; and then multiply the denominator of the dividend, by the numerator of the divisor,...
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The Juvenile Arithmetick, and Scholar's Guide: Illustrated with Familiar ...

Martin Ruter - Arithmetic - 1831 - 179 pages
...FRACTIONS. HULR. Reduce compound fractions to simple ones, and mix* ed numbers to equivalent fractions; then multiply the numerator of the dividend by the denominator of the divisor, for a new numerator, and the denominator ol the dividend by the numerator of the divisor, for the de nominator;...
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The Youth's Assistant in Theorhetic [sic] and Practical Arithmetic: Designed ...

Zadock Thompson - Arithmetic - 1832 - 168 pages
...a dollar then is the price of one bushel. Hence, 228. To divide a fraction by a fraction. RULE. — Multiply the numerator of the dividend by the denominator of the divisor for a new numerator, and the denominator of the dividend by the numerator of the divisor, for a new denominator....
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The Youth's Assistant in Theoretic and Practical Arithmetic: Designed for ...

Zadock Thompson - Arithmetic - 1832 - 168 pages
...a dollar then is the price of one bushel. Hence, 228. To divide a fraction by a fraction. RULE. — Multiply the numerator of the dividend by the denominator of the divisor for a new numerator, and the denominator of the dividend by the numerator of the divisor, for a new denominator....
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The North American Arithmetic: uniting oral and written exercises, in ...

Frederick Emerson - Arithmetic - 1833 - 191 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, Jor a numerator; and multiply the denominator of the dividend by the numerator of the divisor, for...
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The North American Arithmetic: Part Second, Uniting Oral and Written ...

Frederick Emerson - Arithmetic - 1832 - 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 div(end by the numerator of the divisor, for a denominator...
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The North American Arithmetic: for advanced scholars. Part third

Frederick Emerson - Arithmetic - 1834 - 288 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...
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First Lessons in Algebra: Being an Easy Introduction to that Science ...

Ebenezer Bailey - Algebra - 1835 - 252 pages
...we then divide the numerator of the one by the numerator of the other, which gives us ^- . But if we multiply the. numerator of the dividend by the denominator of the divisor, and the denominator ot the dividend by the numerator of the divisor, we shall obtain the same result...
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Geometry: Applied to the Mensuration of Lines, Surfaces, Solids, Heights and ...

B[enjamin] Franklin Callender - Measurement - 1836 - 211 pages
...divide a fraction by a fraction ; that is, to find how many times one fraction is contained in another. Multiply the numerator of the dividend by the denominator of the divisor, for the numerator of the quotient. Then multiply the denominator of the dividend by the numerator of the divisor, for the denominator...
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