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" 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. "
The engineers' manual of the Local marine examinations - Page 63
by Thomas Liddell Ainsley - 1880
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Mathematical Manual for the Use of Colleges and Academies, Volume 1

L. I. M. Chevigné - Mathematics - 1807 - 294 pages
...explications. EXAMPLE. Be this fraction i to be divided by f ; write it f d. f . Here you have to- multiply the numerator of the dividend, by the denominator of the divisor, for the numerator of the new fraction, and reciprocally for the denominator of the said new fraction...
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The Federal Arithmetic; Or, A Compendium of the Most Useful Rules of that ...

James Noyes - Arithmetic - 1808 - 168 pages
...denominator of the divisor by the numerator of the dividend, for the numerator of |he quo» tient ; and the numerator of the divisor by the denominator of the dividend, , for the denominator of the quotient ; and your work is done ; or invert the divisor, and proceed...
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A portable cyclopædia; or, Compendious dictionary of arts and sciences

C T. Watkins - 1810 - 1056 pages
...fraction its value is diminished { •f product being less than the Dumber multiplied. Division.— Rule. Multiply the numerator of the dividend by the denominator of the divisor, and the product is the numerator of t tin' quotient: then mut iply the deno> minntur of the dividend by the...
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An Introduction to Algebra: With Notes and Observations: Designed for the ...

John Bonnycastle - Algebra - 1811 - 230 pages
...HULE*. .Multiply the denominator of the divisor by the numerator of the dividend, for a new numerator; and the numerator of the divisor by the denominator of the dividend, for a new denominator. Or, which is the same thing, invert the divisor, and proceed exactly as in multiplication....
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Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - Arithmetic - 1813 - 358 pages
...I sum of 40 and 5^, is 45 ^ the 45^ * product required. «i CHAP. VI. DIVISION OF FRACTIONS. Rule. Multiply the Numerator of the Dividend by the Denominator of the Divisor for a Numerator, and the Denominator of the Dividend by the Numerator of the Divisor for the Denominator...
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A Treatise on Algebra, in Practice and Theory: With Notes and ..., Volume 1

John Bonnycastle - Algebra - 1813 - 456 pages
...RULE. Multiply the denominator of the divisor by the numerator of the dividend, for the numerator; and the numerator of the divisor by the denominator of the dividend, for the denominator. Or, which is more convenient in practice, multiply the dividend by the reciprocal...
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An Introduction to Algebra: With Notes and Observations : Designed for the ...

John Bonnycastle - Algebra - 1818 - 284 pages
...RULE. Multiply the denominator of the divisor by the numerator of the dividend, for the numerator ; and the numerator of the divisor by the denominator of the dividend, for the denominator. Or, which is more convenient in practice, multiply the dividend by the reciprocal...
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An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler - Algebra - 1821 - 380 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 the denominator q/\ the dividend by the numerator ojj the divisor ; the first product will be the numerator...
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Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824 - 350 pages
...and it is then clear from the above examples that the quotient will be ^. Hence 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 product will be the numerator...
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Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - Arithmetic - 1824 - 292 pages
...them. By examining the above examples, it will be found that this 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...
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