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" Multiplying or dividing both terms of a fraction by the same number does not alter the value of the fraction. "
Mathematics for Common Schools: A Manual for Teachers, Including Definitions ... - Page vi
by John Henry Walsh - 1896
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New Elementary Arithmetic: Embracing Mental and Written Exercises for ...

Benjamin Greenleaf - Arithmetic - 1879 - 238 pages
...to the divisor. Thus, the quotient of 1 divided by 2 is 4 ; 3 divided by 4 is | ; and •§ is 2. 2. Dividing both terms of a fraction by the same number does not change its value. For it has been shown, that canceling equal factors in the dividend and divisor does...
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A Practical Arithmetic: Designed for Grammar Schools and Academies

George E. Seymour - Arithmetic - 1880 - 332 pages
...denominator divides the fraction. Hence, the value of the fraction remains unchanged. Sixth Principle. 131. Dividing both terms of a fraction by the same number does not change its value. DEMONSTRATION . Dividing the numerator divides the value of the fraction as many...
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The science and art of arithmetic, by A. Sonnenschein and H.A. Nesbitt ...

Adolf Sonnenschein - 1880 - 496 pages
...and fraction, whatever holds true of fractions must also hold true of ratios. Thus, for example, By multiplying or dividing both terms of a fraction by the same number the value of the fraction is unaltered (Ch. II. § 1). Simi: larly, By multiplying or dividing both...
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The Complete Algebra ...

Edward Olney - Algebra - 1881 - 504 pages
...Using fractional exponents, I have — - — —• Since (3z)* multiplying numerator and denominator by the same number does not alter the value of the fraction, and as (3«)^ x (3o;)i makes a?, I can rationalize the denominator of this fraction by multiplying...
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The Teachers' and Students' Library: A Compendium of Knowledge Necessary to ...

George Dallas Lind - Education - 1882 - 544 pages
...and decreases the size of the parts in the same ratio. VI. Dividing both numerator and denominator of a fraction by the same number does not alter the value of the fraction. Why ? Because it decreases the number of parts and increases the size of the parts in the same ratio....
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Primary Arithmetic, Parts 1-2

Mabel Bonsall, George E. Mercer - Arithmetic - 1906 - 140 pages
...fractions have the same denominator. Use the diagram on page 75 to show that J = f = T\ = |; that is, that multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. A fraction is in its lowest terms when its numerator and denominator...
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Complete Arithmetic

Samuel Hamilton - Arithmetic - 1908 - 512 pages
...terms of the fraction | by 2. How does f compare in value with | ? How may we obtain | or ^ from |? Multiplying or dividing both terms of a fraction by the same number does not change its value. Changing a fraction to higher terms. 1. Explain why a fraction is expressed in smaller...
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First-year Mathematics for Secondary Schools

George William Myers - Mathematics - 1909 - 390 pages
...14* — 'jx 2x — I 14. i 1 2x3 + 24x2 : SUMMARY Multiplying both the numerator and the denominator of a fraction by the same number does not alter the value of the fraction. Dividing both the numerator and the denominator of a fraction by the same number does not alter the...
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First-year Mathematics for Secondary Schools

George William Myers, William Rockwell Wickes, Ernst Rudolph Breslich, Ernest Leroy Caldwell, Harris Franklin MacNeish, Ernest August Wreidt - 1909 - 388 pages
...for reducing fractions to lower terms; to higher terms. 183. Multiplying numerator and denominator of a fraction by the same number does not alter the value of the fraction. By this principle we may reduce a fraction to higher terms. 184. Dividing numerator and denominator...
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Complete Arithmetic: pt. 1-, Volume 1

George E. Mercer, Mabel Bonsall - Arithmetic - 1909 - 168 pages
...2 _ 1 — _ 7 — те 1 — те ? — Î2 i = ï?6 i = î 1= тз _ ? — ïTi = Т5 Notice that multiplying or dividing both terms of a fraction by the same number does not change its value. ч .NNN«N»Ní«N»»N»№^W»N»N^ 1 1 К) R««»» _• 1 1 1 1 1 1 6 , "V 6...
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