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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 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...
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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 and divisor...
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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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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...
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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...
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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...
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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...
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The Complete Arithmetic: Combining Oral and Written Exercises in a Natural ...

Albert Newton Raub - Arithmetic - 1877 - 348 pages
...-fa, f to fortieths. 10. Reduce |, T\, f, ^£, Д to sixtieths. PRINCIPLE. — The multiplication of both terms of a fraction by the same number does not alter the value of the fraction. WRITTEN PROBLEMS. 1. Reduce | to 81sts. SOLUTION Explanation. — To reduce 9ths to Slsts it is necessary...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 528 pages
...both terms of a ratio by any number does not change its value. For, o : e equals the fraction — and multiplying or dividing both terms of a fraction by the same number does not change its value. CASE I. 725. To find the value of a, simple ratio. 1. What is the ratio of 12 to...
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Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1877 - 374 pages
...-f§ to its lowest terms. FIRST OPERATION. ANALYSIS. Dividing both terms of .t8.=:-|±=J-|=^, A ns. a fraction by the same number does not alter the value of the fraction or quotient, (124, III;) hence, we divide both terms of |J, by 2, both terms of the result, f$, by...
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