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" Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator. "
A Treatise on Algebra: Containing the Latest Improvements. Adapted to the ... - Side 49
av Charles William Hackley - 1846 - 503 sider
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An Elementary Arithmetic Designed for Academies and Schools: Also Serving as ...

George Roberts Perkins - 1855 - 388 sider
...the word or, which connects the fractional parts, as equivalent to the sign of multiplication. Then multiply all the numerators together for a new numerator,...all the denominators together for a new denominator ; always observing to reject or cancel such factors as are common to the numerators and denominators,...
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Common School Algebra

Thomas Sherwin - 1855 - 262 sider
.... — = - . b п у bпу Hence we have the following RULE FOR MULTIPLYING FRACTIONS BY FRACTIONS. Multiply all the numerators together for a new numerator,...all the denominators together for a new denominator. Remark. As the resulting fractions should be simplified, it is best to represent the operation, then...
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The Elements of Algebra

Elias Loomis - 1856 - 280 sider
...oom 33ab'm+6b'cm-2ab Ans. FTT • 36m PROBLEM VII. (85.) To multiply fractional quantities together. RULE. Multiply all the numerators together for a new...all the denominators together for a new denominator. Before demonstrating this rule, we must establish. the two following principles : 1. In order to multiply...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - 1856 - 334 sider
...fractions reduce them to such first, then multiply each numerator by all the denominators except its own, for a new numerator; and all the denominators together for a new denominator. 6. Reduce f, f, and 4 to a com. denominator. A. TsA; 2x6x7=84. Then 1=-^. 5x3x7=105. Then f =!ff 4x6x3=...
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First Lessons in Algebra: In which the Elements of the Science are ...

Samuel Alsop - 1856 - 152 sider
...- 5663 MULTIPLICATION OF FRACTIONS. RULE. § 33. Reduce mixed numbers to improper fractions ; then multiply all the numerators together for a new numerator, and all the denominators for a new denominator. If any factor is found, both in a numerator and denominator, it may be cancelled...
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Arithmetic and Algebra in Their Principles and Application ...

Barnard Smith - 1857 - 740 sider
...By how much does the sum of the fractions l^s and ^ exceed their difference ? MULTIPLICATION. 77. .. RULE. Multiply all the numerators together for a new...all the denominators together for a new denominator. Ex. Multiply | by | . Proceeding by the Rule given above, 3x5 15 7x~8~o6' Reason for the Rule. If f...
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The elements of algebra

James Wood - 1857 - 634 sider
...to be taken, that is, 7 units and 4 such parts. 16. To reduce a compound fraction to a simple one. RULE. Multiply all the numerators together for a new numerator, and all the denominators for a new denominator. 248 44 Ex. 1. - of - — — ; for one third of - is —, (Art. 10); 3 5 15...
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Introduction to The National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - 1857 - 336 sider
...we may cancel £X£X/?X0Xll 11 these common factors, according to S the principles of cancellation. RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator. NOTE 1. — All whole and mixed numbers in the compound fraction must be reduced...
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The National Arithmetic on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1857 - 452 sider
...consequently only i as large as before ; and since 1 of i = jj ' i of 1 will be 3 times 3Tj = U • RULE. — Multiply all the numerators together for a new numerator, and all the denominators for a new denominator. NOTE 1. — All whole and mixed numbers in the compound fraction must be reduced...
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Mensuration and Practical Geometry: Containing Tables of Weights and ...

Charles Haynes Haswell - 1858 - 350 sider
...MULTIPLICATION OF VULGAR FRACTIONS. RULE. — Prepare the fractions, when necessary, as previously required ; multiply all the numerators together for a new numerator,...all the denominators together for a new denominator. EXAMPLE. — What is the product of ^ and -| ? ix|=^---=i, Ans. Ex. 2. What is the product of 6 and...
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