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" This gives a common denominator, because each denominator is the product of all the denominators of the several fractions. The value of any one of the fractions is not changed, because both numerator and denominator are multiplied by the same number (135). "
The Elements of Arithmetic: For Intermediate, Grammar, and Common Schools ... - Page 133
by Edward Olney - 1875 - 314 pages
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Arithmetic Simplified in Three Parts

Catharine Esther Beecher - Arithmetic - 1833 - 296 pages
...will be the same. In like manner, if we were to reduce £ f and 4 to a common denominator, we should multiply both terms of each fraction by the denominators of all the other fractions. But instead of each denominator separately, as multiplier, we can take the product of them for the...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...the value of the fraction will not be altered. To reduce several fractions to a common denominator, multiply both terms of each fraction by the denominators of all the other fractions. A proper fraction is when the numerator is less than the denominator, as f . An improper fraction is...
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Elements of Arithmetic and Algebra: For the Use of the Royal Military College

William Scott - Algebra - 1844 - 568 pages
...have different denominators to equivalent fractions having the same denominator, Rule. Multiply the terms of each fraction by the denominators of all the other fractions ; the results are equivalent fractions reduced to the same denominator. Examples of the reduction of...
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A Treatise on Algebra: For the Use of Schools and Colleges

Stephen Chase - Algebra - 1849 - 348 pages
...denominator, and each numerator by all the denominators except its own, for a new numerator. a.) Otherwise, Multiply both terms of each fraction by the denominators of all the other fractions. 21 5 1. Reduce -, - and = to a common denominator. 2X4X7_56 1X3X7_21 5X3X4_60 3X4X7~84; 4X3X7~-84!...
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Elements of arithmetic for the use of schools

William Scott - Arithmetic - 1854 - 232 pages
...of fractions is considerable, and the denominators are large numbers, the method of multiplying the terms of each fraction by the denominators of all the other fractions, is laborious. In such" cases, it abridges labour to form the product of all the denominators, if they...
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The Progressive Practical Arithmetic: Containing the Theory of Numbers, in ...

Horatio Nelson Robinson - Arithmetic - 1859 - 352 pages
...each new denominator will be the product 5X4 " of the given denominators. Hence the RULE. Multiply the terms of each fraction by the denominators of all the other fractions. NoTE. Mixed numbers must first be reduced to improper fractions. EXAMPLES FOR PRACTICE. 2. Reduce $,...
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Common School Arithmetic: Combining the Elements of the Science with Their ...

John Homer French - Arithmetic - 1869 - 350 pages
...fraction, and multiply both terms of the fraction by the quotient. III. Dissimilar to similar fractions. Multiply both terms of each fraction by the denominators of all the other fractions. IV. Dissimilar to least similar fractions. 1. For the least common denominator, find the least common...
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A University Algebra ...

Edward Olney - Algebra - 1873 - 354 pages
...reduce fractions having different denominators to equivalent fractions having a common denominator. RULE. — MULTIPLY BOTH TERMS OF EACH FRACTION BY THE DENOMINATORS OF ALL THE OTHER FRACTIONS. DEM. — This gives a common denominator, because each denominator is the product of all the denominators...
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Introduction to Algebra: Designed for Use in Our Public Schools ... and for ...

Edward Olney - Algebra - 1874 - 228 pages
...Keduce Fractions having different Denominators to Equivalent Fractions having a Common Denominator. 61. RULE,— Multiply both terms of each fraction by the denominators of all the other fractions. DEM. — This gives a common denominator, because each denominator is the product of all the denominators...
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Introduction to Algebra: Designed for Use in Our Public Schools ... and for ...

Edward Olney - Algebra - 1874 - 232 pages
...having different Denominators to Equivalent Fractions having a Common Denominator. 61. RULE—Multiply both terms of each fraction by the denominators of all the other fractions. DEM.—This gives a common denominator, because each denominator is the product of all the denominators...
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