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" Multiplying or dividing both terms of a fraction by the same number does not change the value of the fraction. "
Elementary Algebra - Page 177
by George William Myers, George Edward Atwood - 1916 - 338 pages
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The Junior-class Arithmetic: Oral and Written : Designed for Graded Schools

Daniel W. Fish - Arithmetic - 1875 - 350 pages
...to its Lowest Terms, when its numerator and denominator are prime to each other. 174. PRINCIPLE. — Dividing both terms of a fraction by the same number does not change its value (167, III, 2). WRITTEN 1. Reduce f$ to its lowest terms. OPERATION. ANALYSIS. — Dividing...
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Felter's New Intermediate Arithmetic: Containing Oral and Written Problems ...

Stoddard A. Felter, Samuel Ashbel Farrand - Arithmetic - 1875 - 316 pages
...in 24 sixtieths, or 2 fifths, ( j). From the above is deduced the following : — 88, PRINCIPLE. — Dividing both terms of a fraction by the same number does not change its value. To reduce a fraction to its lowest terms, use the following: — RULE. — Divide the numerator...
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New Elementary Arithmetic: Embracing Mental and Written Exercises, for Beginners

Henry Bartlett Maglathlin - Arithmetic - 1875 - 216 pages
...denominator to the divisor. Thus, the quotient cf 1 divided by 2 is 4 ; 3 divided by 4 is 1 ; 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 not...
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A Complete Arithmetic, Oral and Written

Malcolm MacVicar - Arithmetic - 1876 - 412 pages
...into as many equal parts as there are units in the number by which they are multiplied. PKIN. III. — Dividing both terms of a fraction by the same number does not change the value of the fraction ; thus, ^3 ^ 3 12 -4- 3 ~ 4 The amount expressed by the 9 in the numerator or the 12 in the denominator...
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The Model Mental Arithmetic: Containing Oral Exercises for Graded and ...

Edgar Arthur Singer - Mental arithmetic - 1876 - 198 pages
...change the value of the fraction. Exercises. Change J§ to its lowest terms. 156. Sfodel. — Since dividing both terms of a fraction by the same number does not change the value of the fraction, JJ is changed to its lowest terms by dividing the numerator and the denominator by 6, their greatest...
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New Elementary Arithmetic, Embracing Mental and Written Exercises for ...

Henry Bartlett Maglathlin - Arithmetic - 1876 - 230 pages
...denominator to the divisor. Thus, the quotient of 1 divided by 2 is i ; 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 not...
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The Philosophy of Arithmetic as Developed from the Three Fundamental ...

Edward Brooks - Arithmetic - 1876 - 588 pages
...to fourths." By a general proposition, which we assume has been demonstrated, we have the principle, "Dividing both terms of a fraction by the same number does not change its value;" hence we may reduce J-jj to fourths by dividing both numerator and denominator by any number...
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Written Arithmetic

George Augustus Walton - 1876 - 358 pages
...in the form of a fraction, the dividend being the numerator, and the divisor the denominator ; since dividing both terms of a fraction by the same number does not alter its value, it follows, that we may strike out, or cancel, any factors common to the dividend...
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The California Teacher: A Journal of School and Home Education and ..., Volume 8

Education - 1870 - 386 pages
...California look to Mr. Marks to establish beyond question. The author says: "B's class might solve it thus: dividing both terms of a fraction by the same number does not alter its value, dividing by 3 etc., and this, which is called the deductive method, must be satisfactory."...
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The Practical Arithmetic on the Inductive Plan: Including Oral and Written ...

William James Milne - Arithmetic - 1877 - 402 pages
...Smallest, or Lowest Terms when its numerator and denominator have no common divisor. 161. PRINCIPLE. — Dividing both terms of a fraction by the same number does not change the value of tiie fraction. WRITTEN EX&RCISES. 162. 1. Change ff to an equivalent fraction expressed in its smallest,...
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