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" Multiplying or dividing both terms of a fraction by the same number does not change its value. "
Hamilton's Arithmetics - Σελίδα 43
των Samuel Hamilton - 1913
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An Intermediate Arithmetic ...: (Robinson's Shorter Course).

Daniel W. Fish - 1874 - 320 σελίδες
...denominator are expressed in larger numbers of the same comparative value. 172. PRINCIPLE. — Multiplying both terms of a fraction by the same number does not change the value of the fraction (167, III, 1). WRITTEN EXERCISES. 1. Reduce $ to sixteenths. OPERATION. ANALYSIS....

New Elementary Arithmetic: Embracing Mental and Written Exercises, for Beginners

Henry Bartlett Maglathlin - 1875 - 216 σελίδες
...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 change its...

Felter's New Intermediate Arithmetic: Containing Oral and Written Problems ...

Stoddard A. Felter, Samuel Ashbel Farrand - 1875 - 316 σελίδες
...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 and...

A Practical Business Arithmetic ...

Lorenzo Fairbanks - 1875 - 472 σελίδες
...altering its value ; or, the denomination may be raised, as -J- to f, -fa. etc. GENERAL PRINCIPLE. — Multiplying or dividing both terms of a fraction by the same number does not alter its value. CASE I. 99. To reduce a fraction to its lowest terms. A fraction is in its lowest...

The Junior-class Arithmetic: Oral and Written : Designed for Graded Schools

Daniel W. Fish - 1875 - 350 σελίδες
...denominator are expressed in larger numbers of the same comparative value. 172. PRINCIPLE. — Multiplying both terms of a fraction by the same number does not change the value of the fraction (167, III, 1). WRITTEN EXER CISES. 1. Reduce -| to sixteenths. OPERATION....

The Philosophy of Arithmetic as Developed from the Three Fundamental ...

Edward Brooks - 1876 - 588 σελίδες
...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 which...

New Elementary Arithmetic, Embracing Mental and Written Exercises for ...

Henry Bartlett Maglathlin - 1876 - 230 σελίδες
...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 change its...

A Complete Arithmetic, Oral and Written

Malcolm MacVicar - 1876 - 412 σελίδες
...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...

The Model Mental Arithmetic: Containing Oral Exercises for Graded and ...

Edgar Arthur Singer - 1876 - 198 σελίδες
...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...

The California Teacher: A Journal of School and Home Education and ..., Τόμος 8

1870 - 386 σελίδες
...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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