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" Now .} of f- is a compound fraction, whose value is found by multiplying the numerators together for a new numerator, and the denominators for a new denominator. "
Walton and Holmes's Arithmetics: 1st Book- - Page 96
by George Augustus Walton, Stanley Harry Holmes - 1909
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Arithmetic: In which the Principles of Operating by Numbers are Analytically ...

Daniel Adams - Arithmetic - 1848 - 354 pages
...be multiplied together. Thus, the numerators of the compound fraction f of J^, aw to be multiplied together for a new numerator, and the denominators for a new denominator. But since the terms of a ratio may be written fractionally, we may call the expression a compound ratio....
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An Elementary Arithmetic

George Payn Quackenbos - Arithmetic - 1867 - 148 pages
...or to reduce a compound fraction, first cancel factors common to any numerator and denominator; then multiply the numerators together for a new numerator, and the denominators for a new denominator. 2. Whole numbers occurring in a compound fraction must first be reduced to a fractional form, and mixed...
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Arithmetical Analysis, Or Higher Mental Arithmetic for Advanced Classes

James Bates Thomson - 1867 - 204 pages
...bushel must be worth 1 third of 3 fourths of a dollar, which is &J-. Therefore, &c. Or, multiplying the numerators together for a new numerator, and the denominators for a new denominator, &j Xi=$A, or $i. 14. What is £ off? £off ? 15. A boy having j- of a watermelon, gave away -J of what...
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Arithmetic for the use of schools. [3 pt. in 1].

Richard Dunkley Beasley - 1867 - 226 pages
...9. Hence A c = ^,. That is - of - = — = 3 x 3. 4 5 2° 4x5 Hence to find the value of a compound fraction, we multiply the numerators together for a new numerator, and the denominators together for a new denominator. 48 ..2,4-6 2 „ 24 Also - of - of - = - of — = 7 3 35 1°5 , , ,...
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Nelson's Common-school Arithmetic: Designed for the Use of the Lowest as ...

Richard Nelson - Arithmetic - 1867 - 304 pages
...| [Note 1, page 82.] . 79. Hence, to multiply a fraction by a fraction, we multiply the numeratort together for a new numerator, and the denominators for a new denominator. ^X«=jf, which, reduced to its lowest terms=|.* *It will be observed that to multiply by a fraction...
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New University Algebra: A Theoretical and Practical Treatise Containing Many ...

Horatio Nelson Robinson - 1868 - 430 pages
...denominators. Hence the following RULE. I. Reduce entire and mixed quantities to fractional forms. II. Multiply the numerators together for a new numerator,...the denominators for a new denominator, canceling аи factors common to the numerator and denominator of the indicated product. .EXAMPLES FOR PRACTICE....
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Eaton's Elementary Algebra: Designed for the Use of High Schools and Academies

William Frothingham Bradbury - Algebra - 1868 - 270 pages
...and -5- -^- y = •=— (Art. 93) must be — -~- y = j— b by^ y the product sought. Hence, RULE. Multiply the numerators together for a new numerator, and the denominators for a new denominator. NOTE 1. — Common factors in the numerators and denominators may be cancelled before multiplication....
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Practical Arithmetic, by Induction and Analysis

Joseph Ray - Arithmetic - 1857 - 358 pages
...of ribbon can be purchased for | of a dollar? Ans. 3|. Rule for Case III. — Invert the divisor ; multiply the numerators together for a new numerator, and the denominators for a new denominator. NOTE. — Reduce compound to simple fractions, and mixed numbers to improper fractions, before commencing...
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A Treatise on Algebra

Elias Loomis - Algebra - 1868 - 386 pages
...according to the second principle of Art. 109, we obtain Hence we have the following ac _ aa RULE. Multiply the numerators together for a new numerator, and the denominators for a new denominator. Entire and mixed quantities should first be reduced to fractional forms. Also, if there are any factors...
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New Practical Arithmetic in which the Science and Its Applications are ...

Henry Bartlett Maglathlin - Arithmetic - 1869 - 332 pages
...Multiply by the numerator of the multiplier and divide the product by its denominator. Or,Multiply the numerators together for a new numerator, and the denominators for a new denominator. This rule is general, and applies in the two preceding cases, since a whole number may be written in...
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