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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

## A portable cyclopædia; or, Compendious dictionary of arts and sciences

C T. Watkins - 1810
...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...

## The Modern Preceptor Or a General Course of Education: Containing ..., Volume 1

John Dougall - 1810 - 580 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,...

## Practical Arithmetic: In Four Books ... Extracted from the Large and Entire ...

John Gough - Arithmetic - 1813 - 348 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...

## The Young Man's Best Companion and Guide to Useful Knowledge

John Dougall - Encyclopedias and dictionaries - 1815 - 476 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...

## An Introduction to the Elements of Algebra: Designed for the Use of Those ...

Leonhard Euler, John Farrar - Algebra - 1821 - 216 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...

## Elements of algebra, compiled from Garnier's French translation of L. Euler ...

Charles Tayler - 1824
...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...

## 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...

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

Silvestre François Lacroix - Arithmetic - 1825 - 144 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...