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" When the denominators are not alike we know that the units are divided into -unequal parts, so before adding them we must find a common denominator for the denominators of all the fractions. Reduce the fractions to fractions having this common denominator,... "
A Treatise on Coal Mining - Page 18
by International Correspondence Schools - 1900
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New Elementary Algebra: in which the First Principles of Analysis are ...

Benjamin Greenleaf - 1863 - 338 pages
...as in the preceding example. RULE. Reduce the fractions, if necessary, to equivalent ones having a common denominator. Add the numerators, and write the sum over the common denominator. NOTE. The final result should be reduced to its lowest terms, whenever any redactions are possible....
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The Normal Written Arithmetic: By Analysis and Synthesis, Designed for ...

Edward Brooks - Arithmetic - 1863 - 350 pages
...21 twenty-fourths equals 69 twenty-fourths. Hence the following RULE. — Reduce the fractions to a common denominator, add the numerators, and write the sum over the common denominator. NOTES. — I. Reduce each fraction to its lowest terms before adding, and also the result after addition....
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Elementary Algebra: Designed as a First Book of Algebra for All Grades of ...

Thomas K. Brown - Algebra - 1879 - 292 pages
...to the number of times that a and b together contain c. Rule. — Reduce the /radions to the least common denominator ; add the numerators, and write the sum over the common denominator. Ex. Collect - + - + — . Scc2 OPERATION. ab d_ _ a^ 3bc 3d ac* + 3 6c +3 d з + с + e ~ зе + з<?...
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New Elementary Algebra: Designed for the Use of High Schools and Academies

Benjamin Greenleaf - Algebra - 1879 - 376 pages
...as in the preceding example. RULE. Seduce the fractions, if necessary, to equivalent ones having a common denominator. Add the numerators, and write the sum over the common denominator. NOTE. The final result should be reduced to its lowest terms, whenever any reductions are possible....
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Business Arithmetic

John Edward King - Business mathematics - 1891 - 254 pages
...having a common denominator. EXAMPLE. — Add -fa, ^, ft. EXPLANATION. — Since the fractions have a common denominator, add the numerators and write the sum over the common denominator, •Jf = 1-j1^. As the result obtained is an improper fraction, change it to a mixed number. Rule. —...
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A Business Arithmetic

1893 - 252 pages
...having a common denominator. EXAMPLE. — Add ^, -fc, \$. EXPLANATION.— Since the fractions have a common denominator, add the numerators and write the sum over the common denominator, -jy = 1^. As the result obtained is an improper fraction, change it to a mixed number. Rule.— Add...
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For sixth, seventh, and eighth grades

George Edward Atwood - Arithmetic - 1894 - 396 pages
...PRINCIPLE. — Only like fractions can be added. 94. RULE. — If necessary, reduce the fractions to a common denominator, add the numerators, and write the sum over the common denominator. If there are mixed numbers, add the whole numbers and fractions separately and unite the results. Reduce...
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Teachers' Manual for Teachers Using Arithmetic by Grades

John Tilden Prince - Arithmetic - 1894 - 254 pages
...fraction by the quotient. To add fractions : Change the fractions to equivalent fractions having a common denominator ; add the numerators, and write the sum over the common denominator. 2 To subtract fractions : Change the fractions to equivalent fractions having a common denominator,...
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The Normal Standard Arithmetic: By Analysis and Induction, Designed for ...

Edward Brooks - Arithmetic - 1895 - 430 pages
...twenty-fourths equal 57 twenty-fourths, or 2f. Hence the following Rule. — Reduce the fractions to a common denominator, add the numerators, and write the sum over the common denominator. 1. Keduce compound fractions to simple ones, and reduce each fraction and the sum to lowest terms....
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A Textbook on Plumbing, Heating, and Ventilation, Volume 5

1897 - 358 pages
...sum. (39) When the denominators are not alike we know that the units are divided into unequal parts, so before adding them we must find a common denominator...fractions to sixteenths and then add their numerators. 135 1 j + ^r + — = ? To reduce the fraction — to a fraction 504 252 126 18 140 70 35 1 5' 18 5) 25...
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