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" Multiply each numerator into all the denominators, except its own, for a new numerator, and all the denominators into each other continually, for a common denominator. "
The New Complete System of Arithmetic: Composed for the Use of the Citizens ... - Page 73
by Nicolas Pike - 1802 - 352 pages
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Daboll's Schoolmaster's Assistant: Improved and Enl. ...

Nathan Daboll - Arithmetic - 1837 - 262 pages
...equivalent fractions having a common denominator. RULE I. 1. Reduce all fractions to simple terms. 2. Multiply each numerator into all the denominators except its own, for a new numerator ; and all the denomif nators into each other continually for a common denominator ; this written under the several...
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The Private Instructor, Or Mathematics Simplified: Comprising Every Thing ...

Jason M. Mahan - Arithmetic - 1839 - 312 pages
...ff of jf^. to a aingb fraction. J-. CASE VI. t To reduce fractions to a common. denominator. RULE. Multiply each numerator into all the denominators, except its own, for a new numerator; and all the denominators for a comman denominator. Examples. 1. Reduce \, |, $ and -*- to equivalent fractions,...
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The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - Arithmetic - 1839 - 356 pages
...the respective numerators of 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 |, |, I and &. / Ans. ||, $, |f,...
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A New System of Arithmetic: In which is Explained and Applied to Practical ...

Calvin Tracy - Arithmetic - 1840 - 326 pages
...HAVING A COMMON DENOMINATOR. RULE. — Multiply all the denominators together for a new denominator, and each numerator into all the denominators except its own, for a new numerator to each fraction. The several numerators placed over the common denominator will give the required...
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The National Arithmetic ...: Combining the Analytic and Synthetic Methods ...

Benjamin Greenleaf - Arithmetic - 1841 - 334 pages
...the respective numerators of 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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Questions Adapted to Emerson's North American Arithmetic, Part Third, Part 3

William Draper Swan - 1841 - 40 pages
...common denominator. If any of the fractions to be reduced be compound, what must be done 1 Why do you multiply each numerator into all the denominators except its own for a new numerator r \ (See 3d proposition, page 37.) Reduce J and § to a common denominator. Reduce £ of § and £...
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 356 pages
...146. FRACTIONS OF DIFFERENT DENOMINATORS MAT BE REDUCED TO A COMMON DENOMINATOR, BY MULTIPLYING EACH A NUMERATOR INTO ALL THE DENOMINATORS EXCEPT ITS OWN, FOR A NEW NUMERATOR ; AND ALL THE DENOMINATORS TOGETHER, FOR A COMMON DENOMINATOR. Ex. 1. Reduce ?L and -, and- to a common denominator....
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An Introduction to Algebra: Being the First Part of a Course of Mathematics ...

Jeremiah Day - Algebra - 1841 - 354 pages
...146. FRACTIONS OF DIFFERENT DENOMINATORS MAY BE REDUCED TO A COMMON DENOMINATOR, BY MULTIPLYING EACH f NUMERATOR INTO ALL THE DENOMINATORS EXCEPT ITS OWN, FOR A NEW NUMERATOR ; AND ALL THE DENOMINATORS TOGETHER, FOR A COMMON DENOMINATOR. Ex. 1. Reduce a—. and 1, and — to a common...
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Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks

Roswell Chamberlain Smith - Arithmetic - 1841 - 324 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 -St-...
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The United States Calculator: Or, Arithmetic Simplified, in Dollars and ...

John M'Nevin - Arithmetic - 1841 - 300 pages
...$, 24 + 20 = y- = 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. Example.— Add 62£ " 37| Add 4, i, f, and TV together,...
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