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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; this written under the several new numerators will give the fractions required. "
A New and Complete System of Arithmetick: Composed for the Use of the ... - Page 61
by Nicolas Pike - 1809 - 300 pages
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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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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...each other continually, for a common denominator, which ii but another method of the preceding. 5. To ndwx a mixed number to an improper fraction, RULE....
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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...numerator ; and all the denominators into each other for a common denominator. 2. Reduce J and £ to a common denominator. Ans. A, iJ. 3. Reduce £, T\,...
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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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Elements of Algebra: Embracing ... the Theory and Application of Logarithms ...

Davis Wasgatt Clark - 1844 - 394 pages
...a5— 65. CASE VII. 141. To reduce fractions to equivalent ones having a common denominator. ETJLE. 1. Multiply each numerator into all the denominators, except its own, for the new numerators. 2. Multiply all the denominators together for the common denominator. Note 1. —...
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Greenleaf's Introductory Arithmetic

Benjamin Greenleaf - Arithmetic - 1845 - 226 pages
...the respective numerators of the fractions, and their products will be the numerators required. Or, multiply each numerator into all the denominators...numerator ; and all the denominators into each other for a common denominator. it. Reduce f and |- to a common denominator. Ans. ^j, -JJ. 3. Reduce f. T4,-,...
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The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - Arithmetic - 1845 - 710 pages
...the whole or mixed numbers to equivalent proper or improper fractions. II. Multiply each numerator by all the denominators except its 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
...the whole or mixed numbers to equivalent proper or improper fractions. II. Multiply each numerator by all the denominators except its 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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A New Practical and Theoretical Arithmetic: In which in Addition to the ...

Horatio Nelson Robinson - Arithmetic - 1845 - 310 pages
...this principle, we may understand the following rule, which is universal in its application : RULE. Multiply each numerator into all the denominators except its own, for a new numerator. Then multiply all the denominators together far a new denominator, and place it under each new numerator....
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