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" Dividing the numerator and denominator of a fraction by the same number does not alter the value of the fraction. "
Introduction to the National Arithmetic: On the Inductive System Combining ... - Page 142
by Benjamin Greenleaf - 1859 - 324 pages
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Robinson's Progressive Practical Arithmetic: Containing the Theory of ...

Horatio Nelson Robinson, Daniel W. Fish - Arithmetic - 1877 - 374 pages
...denominator multiplies the fraction. PKIN. III. Multiplying or dividing both terms of the frao tion by the same number does not alter the value of the fraction. These three principles may be embraced in one GENERAL LAW. 125. A change in the NUMERATOR produces...
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The Normal Higher Arithmetic: Designed for Common Schools, High Schools ...

Edward Brooks - Arithmetic - 1877 - 564 pages
...fractional units being taken, the value of the fraction will be 6 times as great. 5. Multiplying both numerator and denominator of a fraction by the same number does not change its value. Since multiplying the numerator multiplies the value of the fraction, and multiplying...
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The New Normal Written Arithmetic: Designed for Common Schools, Normal ...

Edward Brooks - Arithmetic - 1877 - 444 pages
...fractional unius being taken, the value of the fraction will be 4 times as great. 5. Multiplying both numerator and denominator of a. fraction by the same number does not change tlte value of the fraction. Since multiplying the numerator multiplies the value of the fraction,...
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The Elementary Arithmetic: Oral and Written

Albert Newton Raub - Arithmetic - 1877 - 176 pages
...in f ? In f ? In f ? 10. How mniiy twentieths in | ? In f ? In j^? PRINCIPLE. — Multiplying both numerator and denominator of a fraction by the same number does not change the value of the fraction. Thus, £ equals f, which is the same as multiplying ^ by f. WRITTEN...
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The Normal Union Arithmetic: Designed as the Primary Part of a ..., Part 1

Edward Brooks - Arithmetic - 1878 - 164 pages
...divided f by 2, and hence did not chauge its value. Hence the following PRINCIPLE V. — Multiplying both numerator and denominator of a fraction by the same number does not change the value of the fraction. Multiply both numerator and denominator of 2. f by 3. 3. f by 5....
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A Mental Arithmetic, on the Inductive Plan: Being an Advanced IntellectuaL ...

Benjamin Greenleaf - Arithmetic - 1879 - 190 pages
...seen that the same result can be reached more readily by dividing both terms of the fraction by 2. Dividing the numerator and denominator of a fraction...same number does not alter the value of the fraction. 52. Reduce T62- to sixths. To fourths. NOTE. — A fraction is said to be reduced to lower terms when...
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A Practical Arithmetic for Intermediate, Grammar, and Common Schools

Edward Olney - Arithmetic - 1879 - 404 pages
...same number, or by dividing both terms uy the same number. DEMONSTRATION. — Multiplying both terms of a fraction by the same number does not alter the value of the fraction; because multiplying the numerator multiplies the number of parts, while multiplying the denominator...
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The Elements of Arithmetic: For Intermediate, Grammar, and Common Schools ...

Edward Olney - Arithmetic - 1879 - 420 pages
...same number, or by dividing both terms by the same number. Demonstration. — Multiplying both terms of a fraction by the same number does not alter the value of the fraction; because multiplying the numerator multiplies the number of parts, while multiplying the denominator...
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Elementary Arithmetic and how to Teach it

George Ricks - Arithmetic - 1879 - 420 pages
...— 8 = J_fL = 3 2 (3) I = Ü = Й .= U From this we see that to multiply (and hence also to divide) the numerator and denominator of a fraction by the same number does not alter its value. Thus in (3) we obtain -Jf from $• by multiplying numerator and denominator by 4 ; and...
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Bradbury's Eaton's Practical Arithmetic: Combining Oral and Written Exercises

William Frothingham Bradbury - Arithmetic - 1879 - 446 pages
...causes an opposite change in the value of the fraction. (Art. 79.) (c.) Multiplying or dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. (Art. 80.) 119. A Proper Fraction is one whose numerator is less...
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