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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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The new encyclopędia; or, Universal dictionary ofarts and sciences, Volume 1

Encyclopaedia Perthensis - 1807 - 758 pages
...To DIVIDE FRACTIONS. Ruh. Multiply the numerator of the dividend by the denominator of the diviibr, for a new numerator ; and the denominator of the dividend by the numerator of the diviibr, for a new denominator. _, a\cf br cb Thus,- )-7{",= -T- X b ) d\ad da Proof. ace f***pk. Ltt...
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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 Modern Preceptor Or a General Course of Education: Containing ..., Volume 1

John Dougall - 1810 - 554 pages
...multiplication «f mixed numbers. SK DIVISION DIVISION OF VULGAR FRACTIONS. Division is performed by multiplying the numerator oF the dividend by the denominator of the divisor, for a numerator to the quotient, and the denominator, of the dividend by the numerator of the divisor, for...
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A portable cyclopędia; 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...
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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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The Young Man's Best Companion and Guide to Useful Knowledge

John Dougall - Encyclopedias and dictionaries - 1815 - 514 pages
...DIVISION OF VUIGAR FRACTIONS. Division is performed by cross multiplication : that is by multiplying the numerator of the dividend by the denominator of the divisor ; for a numerator to the quotient, and the denominator of the dividend by the numerator of the divisor, for...
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Encyclopaedia Perthensis; Or Universal Dictionary of the Arts ..., Volume 1

Encyclopedias and dictionaries - 1816 - 754 pages
...To DIVIDE FRACTIONS. Rule. Multiply the numerator of the dividend by the denominator of the divifor, for a new numerator ; and the denominator of the dividend by the numerator of the divifor, for a new denominator. Thus, -1^ (*£. = _! x^. / b J d \ ad da •ac Proof; Let - = m, and...
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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...
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Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - Arithmetic - 1824 - 292 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 | by 5 and the denominator by 1, it becomes...
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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...
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