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" 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. "
Arithmetic Upon the Inductive Method of Instruction: Being a Sequel to ... - Σελίδα 180
των Warren Colburn - 1836 - 245 σελίδες
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Analytical Institutions in Four Books: Originally Written in Italian, Τόμοι 1-2

Maria Gaetana Agnesi - 1801 - 724 σελίδες
...Fraftions 34. The Divifion of Fractions is performed by multiplying crofs-wife, that how divided. iS} by multiplying the numerator of the dividend by the denominator of the divifor, which product muft be the numerator of the fraction which is to be the quotient : and then...

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

John Dougall - 1810 - 554 σελίδες
...by 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,...

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

C T. Watkins - 1810 - 1056 σελίδες
...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...

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

John Gough - 1813 - 358 σελίδες
...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 of ihe Quotient. Appll. Application. Let £ be to be divided by ^, 3 (the A numerator...

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

John Dougall - 1815 - 514 σελίδες
...!«'><;} feet. 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,...

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

Leonhard Euler - 1821 - 380 σελίδες
...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 of the...

Arithmetic: Being a Sequel to First Lessons in Arithmetic

Warren Colburn - 1824 - 292 σελίδες
...or both of the numbers are mixed numbers, they must first be reduced to improper fractions. \,^ * . As the common denominator itself is not used in the...Thus in the third example; multiplying the numerator of | by 5 and the denominator by 1, it becomes \4, which reduced is 3| pounds, as before. XXIV. A owned...

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

Charles Tayler - 1824 - 350 σελίδες
...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...denominator of the dividend by the numerator of the divisor ; the Jirst product will be the numerator of the quotient, «nd the second product tie denominator....

An Introduction to Algebra Upon the Inductive Method of Instruction

Warren Colburn - 1825 - 400 σελίδες
...— • 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...denominator of the dividend by the numerator of the divisor. Or more generally, when the divisor is a /raction, multiply the dividend (whether whole number or fraction)...

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

Silvestre François Lacroix - 1825 - 404 σελίδες
...gives —. 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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