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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. "
A Theoretical and Practical Treatise on Algebra: ... Designed for Schools ... - Page 44
by Horatio Nelson Robinson - 1858 - 360 pages
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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - Arithmetic - 1841 - 300 pages
...cross multiplication | + £, 24 + 20 = $$ = If reduced, from whence the following Rule is deduced: multiply each numerator by all the denominators, except its own, for a new numerator, and all the denominators together for a new denominator. Exampk.—Add 62^ « 37| « 19f By Reduction £ is equal...
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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...this RULE. Reduce mixed numbers to improper fractions, compound fractions to their simplest form. Then multiply each numerator by all the denominators, except its own, for a new numerator; and all the denominators together for a common denominator. It is obvious that this process will give the same...
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 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. Ans. 55, 12, |5, 75. Ans. i555, iii0, I5Su,...
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A Practical Treatise on Arithmetic, [etc.].

George Leonard - Arithmetic - 1841 - 354 pages
...fractions to a common denominator, Multiply all the denominators together for a common denominator, and each numerator by all the denominators, except its own, for a new numerator. How do we add J and f ? Where the denominators are different, as in 3, 3, and |, what must we contrive...
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A Practical Treatise on Arithmetic: Wherein Every Principle Taught is ...

George Leonard - 1841 - 356 pages
...fractions to a common denominator, Multiply all the denominators together for a common denominator, and each numerator by all the denominators, except its own, for a new numerator. How do we add j and | ? Where the denominators are different, as in 5, |, and ;, what must we contrive...
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The elements of arithmetic. [With] Key

Charles Bathurst (schoolmaster.) - 1842 - 158 pages
...having a common denominator. RULE. Reduce such of the fractions as require it to simple fractions. Multiply each numerator by all the denominators except its own for a new numerator, and all the denominators together for a common denominator. EXAMPLES. 1. Reduce f, £, 1£ and ^ to fractions of...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1842 - 320 pages
...following GENERAL RULE. 5. If 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=...
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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...
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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....
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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 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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