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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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Higher Arithmetic: Designed for the Use of High Schools, Academies, and Colleges

George Roberts Perkins - Arithmetic - 1841 - 274 pages
...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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United States Calculator: Or, Arithmetic Simplified

John M'Nevin - Arithmetic - 1841 - 300 pages
...£, 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...
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Introduction to the National Arithmetic: On the Inductive System : Combining ...

Benjamin Greenleaf - Arithmetic - 1842 - 184 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 £ and £ to a common denominator....
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The principles of arithmetic. [Followed by] The principles of algebra

Wales Christopher Hotson - 1842 - 306 pages
...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...
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The elements of arithmetic. [With] Key

Charles Bathurst (schoolmaster.) - 1842 - 158 pages
...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...
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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....
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Daboll's Complete Schoolmaster's Assistant Being a Plain Comprehensive ...

Nathan Daboll - Arithmetic - 1843 - 254 pages
...to make 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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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...
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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 except its own for a new numerator ; and all the denominators together, for a common denominator. 8. Reduce T, and -rt and — to a common denominator....
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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 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....
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