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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. "
Arithmetic on the Productive System: Accompanied by a Key and Cubical Blocks - Σελίδα 126
των Roswell Chamberlain Smith - 1841 - 311 σελίδες
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Elements of Algebra: Being an Abridgment of Day's Algebra, Adapted to the ...

James Bates Thomson - 1844 - 272 σελίδες
...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 axdxy=ady 1 cxbx...

Elementary and practical Arithmetic on the inductive system, by analysis and ...

Charles WATERHOUSE - 1844 - 228 σελίδες
...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....

Engineers' and Mechanics' Pocket-book ...

Charles Haynes Haswell - 1844 - 298 σελίδες
...FRACTIONS. RULE. — Prepare the frnctioas as previously required ; multiply all the numerators together for a new numerator, and all the denominators together for a new denominator. EXAMPLE.— What is the product of J and £ ? }x|=A»J** t.— What is the product of6and^of5? rXV...

The National Arithmetic, on the Inductive System: Combining the Analytic and ...

Benjamin Greenleaf - 1844 - 352 σελίδες
...and whole numbers, if there be any, to improper fractions ; then multiply all the numerators together for a new numerator, and all the denominators together for a new denominator ; the fraction should then be reduced io its lowest terms. But, if there be numbers in the numerator...

A manual of arithmetic

George Hutton (arithmetic master, King's coll. sch.) - 1844 - 276 σελίδες
...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 —,...

Smith and Duke's The American Statistical Arithmetic: Designed for Academies ...

Francis Henney Smith - 1845 - 300 σελίδες
...denominator— RULE. I. Reduce the whole or mixed numbers to equivalent proper or improper fractions. II. Multiply each numerator by all the denominators except...all the denominators together for a new denominator. EXAMPLES. 1. Reduce £, |, -| to fractions having the same or a com mon denominator. 1 X 4X 3=12, numerator...

The American Statistical Arithmetic: Designed for Academies and Schools

Francis Henney Smith - 1845 - 710 σελίδες
...denominator — RULE. I. Reduce the whole or mixed numbers to equivalent proper or improper fractions. II. Multiply each numerator by all the denominators except...all the denominators together for a new denominator. EXAMPLES. 1. Reduce J, f, -f to fractions having the same or a com mon denominator. 1 X 4X 3=12, numerator...

Watson's Tutor's assistant; or, Complete school arithmetic

William Watson (of Beverley.) - 1845 - 188 σελίδες
...To reduce fractions to a common denominator.* RULE. — Multiply each numerator separately, into att the denominators except its own for a new numerator, and all the denominators together for a common denominator. EXAMPLE. 1. Reduce J, J, and |- to equivalent fractious, having a common denominator....

Greenleaf's Introductory Arithmetic

Benjamin Greenleaf - 1845 - 226 σελίδες
...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. it. Reduce f and |- to a common denominator. Ans. ^j, -JJ....

A New System of Arithmetic and Mathematics

James H. Porter - 1845 - 252 σελίδες
...are required to reduce compound fractions to simple ones. Rule, Multiply all the numerators together for a new numerator, and all the denominators together for a new denominator ; then reduce all of these to their lowest terms. Reduce f off off ofT7^ to a simple fraction. 4XSX6X...




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