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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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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 394 pages
...must be represented simply by the division of ad by bc ; which gives r— . Hence the following rule : Multiply the numerator of the dividend by the denominator of the divisor, and tlie denominator of tlie dividend by the numerator of the divisor ; tlie first product unll be...
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An Elementary Treatise on Arithmetic: Taken Principally from the Arithmetic of

Silvestre François Lacroix - Arithmetic - 1825 - 404 pages
...Hence the following rule : Multiply the numerator of the dividend by tlie denominator of Ihe divisor, and the denominator of the dividend by the numerator of the divisor ; the first product will be the numerator of the quotient, and tlie second -will be its denominator....
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An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - Algebra - 1825 - 372 pages
...c , bc — • is r part of — - Am. — . ad 6 r ad ad Hence, <o divide a fraction by ajraction, 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 the divisor...
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Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - Arithmetic - 1826 - 215 pages
...deduced the following rule : 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 Jirst gives the numerator, the second the denominator of the result. To prove this, we need only...
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Elements of Arithmetic, Theoretical and Practical: Adapted to the Use of ...

Ferdinand Rudolph Hassler - Arithmetic - 1826 - 215 pages
...the two first propositions repecting fractions, of § 38, from which is deduced the following rule : 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 first gives the numerator,...
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The Juvenile Arithmetick, and Scholar's Guide: Wherein Theory and Practice ...

Martin Ruter - Arithmetic - 1828 - 180 pages
...FRACTIONS. RULE. Reduce compound fractions to simple ones, and mixed numbers to equivalent fractions; then multiply the numerator of the dividend by the denominator...the dividend by the numerator of the divisor, for th« denominator; the fractions thus formed will be the answer. EXAMPLES. 1. Divide 4 by f. Thus, 4...
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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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Arithmetic Upon the Inductive Method of Instruction ...: Stereotyped at the ...

Warren Colburn - 1829 - 258 pages
...purpose is effected, by multiplying the numerator of the dividend by the denominator of the divisor, and the 'denominator of the dividend by the numerator of the divisor. Thus in the third example ; multiplying the numerator of 2 by 5 and the denominator by 1, it becomes...
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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...divisor, for a new numerator, and the denominator ol the dividend by the numerator of the divisor, for the de nominator; the fractions thus formed will...
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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, for a new denominator....
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