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" Multiply each numerator into all the denominators except its own for a new numerator, and all the denominators together for a common denominator. "
Indroduction to the National Arithmetic ... - Page 146
by Benjamin Greenleaf - 1854
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1842 - 320 pages
...the numbers are not all single fractions reduce them to fuch 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. 105. 2x6x7= 84. 5x3x7...
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Elementary Algebra: Embracing the First Principles of the Science

Charles Davies - Algebra - 1842 - 284 pages
...reduce fractions having different denominators to equivalent fractions having a common denominator. RULE. Multiply each numerator into all the denominators except its own, for the new numerators, and all the denominators together for a common denominator. EXAMPLES. 1. Reduce...
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Elements of Algebra

Charles Davies - Algebra - 1842 - 368 pages
...Ans. a—j-- o Ans. a+x. Ans. x?+xy+y*. 6. Reduce to a mixed quantity. CASE IV. 3 Ans. 2a;—1+r-. ox RULE. Multiply each numerator into all the denominators except its own, for the new numerators, and all the denominators together for a common denominator. EXAMPLES. 1. Reduce...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1843 - 320 pages
...the numbers are not all single 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 84 . 105 . •"•....
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Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - Arithmetic - 1843 - 254 pages
...a whole 1. Hence the common denominator is 12, and j oi' 12 is --1.,-. and £ of 12 is -fa. RULE I. Multiply each numerator into all the denominators except its own, for a new numerator ; then multiply all the denominators together for a common denominator, and place it under each new...
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The Seaman's Arithmetic

John Martin (of Kincardine.) - 1843 - 120 pages
...Ans. 4-. 4. Reduce tVrj to its lowest terms. Ans. £. To reduce fractions to a common denominator,— RULE — Multiply each numerator into all the denominators except its own, for the numerators ; and all the denominators for a common denominator. Ex. 1. Reduce £, i, and £, to...
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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 208 pages
...the respective numerators of the fractions, and their products will be the numerators required. Or, multiply each numerator into all the denominators...denominators into each other for a common denominator. 2. Reduce J and £ to a common denominator. Ans. A, iJ. 3. Reduce £, T\, and ££. Ans. ft°, {&,...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1844 - 352 pages
...the respective numerators of the fractions and their products "t!l be the numerators required. Or, multiply each numerator into all the denominators...new numerator; and all the denominators into each. nf for nthi r for a common denominator. 2. Reduce |, f, J and ft. Ans. ft, ft H, ft 3. Reduce ft, fs,...
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...measure, see Art. 195, a. 118. To reduce fractions of different denominators to a common denominator. Multiply each numerator into all the denominators...own for a new numerator ; and all the denominators together, for a common denominator. 8. Reduce T, and -rt and — to a common denominator. 6 ay y the...
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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...by rule 4. 5. Reduce | , I, £, ', 4, by rule 4. Explanation. — Here each numerator is multiplied into all the denominators, except its own, for a new...numerator, and all the denominators into each other continually, for a common denominator, which ii but another method of the preceding. 5. To ndwx a mixed...
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