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" Reduce compound fractions to simple ones, and mixt numbers to improper fractions ; then multiply the numerators together for a new numerator, and the denominators for. a new denominator. "
A Complete Treatise on Arithmetic, Rational and Practical: Wherein the ... - Page 151
by Paul Deighan - 1804 - 177 pages
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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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A Written Arithmetic, for Common and Higher Schools; to which is Adapted a ...

George Augustus Walton, Mrs. Electra Nobles Lincoln Walton - Arithmetic - 1865 - 354 pages
...becomes fy^\ after cancelling, g-~9= ^, .an«. Hence the BULE. To multiply a fraction by a fraction ; — Multiply the numerators together for a new numerator, and the denominators for a new denominator. EXAMPLES. Multiply 1. | by f . Ans. ¿. 4. ff by Ц» 2- -f by TV Ля«. Д. 5, ff by 3. !$ by f....
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New Elementary Algebra: Containing the Rudiments of Science for Schools and ...

Horatio Nelson Robinson - Algebra - 1866 - 328 pages
...given denominators. Hence, the RULE. I. Reduce entire and mixed quantities to fractional forms. II. Multiply the numerators together for a new numerator, and the denominators, for a new denominator, canceling all factors common to the numerator and denominator of the indicated product. EXAMPLES FOR...
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The Rudiments of Written Arithmetic: Containing Slate and Black-board ...

Horatio Nelson Robinson - Arithmetic - 1866 - 200 pages
...have T62=2 for the required product Hence we have the following RULE. Multiply together the numerators for a new numerator, and the denominators for a new denominator, and reduce the result to its lowest terms. EXAMPLES FOR PRACTICE. 6. Multiply I by f . Ans. " 7. Multiply | by...
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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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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, and the denominators for a new denominator, canceling аи factors common to the numerator and denominator of the indicated product. .EXAMPLES...
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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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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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