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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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The course of arithmetic as taught in the Pestalozzian school, Worksop ...

J L. Ellenberger - 1854 - 338 σελίδες
...therefore, }-5-5=,'s; and, therefore, Jrf = H = Hi. Therefore, to divide a fraction by another, multiply the numerator of the dividend by the denominator of the divisor, and divide the product, by the product of the numerator of the divisor by the denominator of the dividend....

Elementary Algebra

Benedict J. Sestini - 1854 - 156 σελίδες
.... с And consequently, to obtain the quotient of a fraction divided by another, Take the product of the numerator of the dividend, by the denominator of the divisor, and divide this product by that of the numerator of the divisor multiplied by the denominator of the dividend....

Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1856 - 334 σελίδες
...denominator. 36. The reason for this rule is the same, in reality, as that for the preceding one. 37. |i'or, multiplying the numerator of the dividend by the denominator of the divisor multiplies the dividend by that number. (LVI. 2, 3.) 38. And multiplying the denominator of the dividend...

Bourdon's Arithmetic: Containing a Discussion of the Theory of Numbers

Bourdon (M., Louis Pierre Marie) - 1858 - 262 σελίδες
...a fraction by a fraction, we must multiply the numerator of the dividend by the denominator of tlie divisor, and the denominator of the dividend by the numerator of the divisor ; then make the second product the denominator of the first. Or, in simple terms, multiply the dividend...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1863 - 432 σελίδες
...1_ab~1 _ad Ъ ' d- cd~* be By inspecting this result, we find that the new numerator may be obtained, by multiplying the numerator of the dividend by the denominator of the divisor ; and the new denominator may be obtained, by multiplying the denominator of the dividend by the numerator of...

New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - 1864 - 444 σελίδες
...- —— — Ъ d ça oc By inspecting this result, we find that the new numerator may be obtained, by multiplying the numerator of the dividend by the denominator of the divisor ; and the new denominator may be obtained, by multiplying the denominator of the dividend by the numerator of...

Handbook of the Steam-engine: Containing All the Rules Required for the ...

1865 - 580 σελίδες
...— Multiply the numerator of the dividend by the denominator of the divisor for the new numerator, and the denominator of the dividend by the numerator of the divisor for the new denominator. Thus f divided by f =•}£, and f divided by •£•=} or f, or 1J, and...

Intermediate Arithmetic: For Use in the Common Schools and Academies of the ...

Paul Allen Towne - 1867 - 240 σελίδες
...are 5 times }; hence, ^ are contained in |, 4 of ^'-, that is, |¿, or 1 /„ times. BULE. Multiply the numerator of the dividend by the denominator of...denominator of the dividend by the numerator of the divisor. The former product is the numerator, and the latter the denominator of the answer. KEMAEK 1. — In...

The Foreign and Domestic Commercial Calculator; Or, A Complete Library of ...

Ezra S. Winslow - 1867 - 232 σελίδες
...these multiplied together for a product. It has also been seen that a fraction is divided by a fraction by multiplying the numerator of the dividend by the denominator of the divisor, for the numerator of the quotient, and the denominator of the dividend by the numerator of the divisor,...

The Art of Teaching School: A Manual of Suggestions for the Use of Teachers ...

Josiah Rhinehart Sypher - 1872 - 340 σελίδες
...divided by a fraction by multiplying the denominator of the dividend by the numerator of the divisor, and by multiplying the numerator of the dividend by the denominator of the divisor. Of course, in all cases in which the numerator and denominator of the dividend are divisible, without...




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