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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. "
An Elementary Treatise on Algebra: Theoretical and Practical ... - Page 42
by Horatio Nelson Robinson - 1846 - 262 pages
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...of fractions proposed, the required transformation will be effected if each numerator be multiplied by all the denominators, except its own, for a new numerator, and all the denominators together for a new denominator. Ex. To transform - - , — ; — , and , , , so as to a-1 a+1 a2+l...
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Introduction to the National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1842 - 184 pages
...the fractions, and their products will be the numerators required. Or, multiply each numerator into all the denominators except its own for a new numerator ; and all the denominators into each other for a common denominator. 2. Reduce £ and £ to a common denominator. Ans. ft, ig....
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1843 - 320 pages
...following GENERAL RULE. 5. If the numbers are not all single fractions reduce them to such first, then multiply each numerator by all the denominators except...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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Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - Arithmetic - 1844 - 228 pages
...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....
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Introduction to The National Arithmetic: On the Inductive System; Combining ...

Benjamin Greenleaf - Arithmetic - 1844 - 208 pages
...the fractions, and their products will be the numerators required. Or, multiply each numerator into all the denominators except its own for a new numerator ; and all the denominators into each other for a common denominator. 2. Reduce J and £ to a common denominator. Ans. A, iJ. 3....
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - Algebra - 1844 - 272 pages
...To reduce fractions of different denominators to a common denominator. Multiply each numerator into all the denominators except its own for a new numerator ; and all the, denominators together^ for a common denominator. 8. Reduce -r, and -,, and — to a common denominator. 6' d? y...
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A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 pages
...generally given for the solution of this problem is to multiply the numerator of each of the fractions by all the denominators, except its own, for a new numerator, and to multiply all the denominators together for a common denominator. Thus, to reduce the fractions —,...
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Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - Engineering - 1844 - 298 pages
...*.*«. To reduce Fractions of different Denominations to equivalent ones having a common Denominator. RULE. — Multiply each numerator by all the denominators except its own for the new numerators ; and multiply all the denominators together for a common denominator. NOTE. —...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...denominator — RULE. I. Reduce the whole or mixed numbers to equivalent proper or improper fractions. II. Multiply each numerator by all the denominators except...own for a new numerator, and all the denominators together for a new denominator. EXAMPLES. 1. Reduce J, f, -f to fractions having the same or a com...
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Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - Arithmetic - 1845 - 300 pages
...denominator— RULE. I. Reduce the whole or mixed numbers to equivalent proper or improper fractions. II. Multiply each numerator by all the denominators except...own for a new numerator, and all the denominators together for a new denominator. EXAMPLES. 1. Reduce £, |, -| to fractions having the same or a com...
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