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" Dividing both numerator and denominator of a fraction by the same number both divides and multiplies the fraction by that number, and, therefore, docs not alter its value. "
The Common-school Arithmetic: a Practical Treatise on the Science of Numbers - Page 119
by Dana Pond Colburn - 1858 - 276 pages
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Essentials of Arithmetic, Oral and Written

John William McClymonds, David Rhys Jones - Arithmetic - 1907 - 352 pages
...f=f. 10. What effect upon the quotient has dividing both dividend and divisor by the same number ? Is dividing both numerator and denominator of a fraction by the same number the same as dividing both dividend and divisor by the same number ? Multiplying or dividing loth terms...
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A First Course in Elementary Algebra

Jacob William Albert Young - 1908 - 344 pages
...changed. Sec. 175. 10. The law of exponents in division applies to fractions. Sec. 180. 11. Multiplying or dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. Sec. 178. 12. The same factor may be introduced into both...
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Elementary Algebra

Jacob William Albert Young, Lambert Lincoln Jackson - Algebra - 1908 - 460 pages
...changed. Sec. 175. 10. The law of exponents in division applies to fractions. Sec. 180. 11. Multiplying or dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. Sec. 178. 12. The same factor maybe introduced into both...
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Methods in Education

Thomas Jefferson McEvoy - Education - 1908 - 472 pages
...many of the processes before the rules are comprehended. These are the principles : 1. Multiplying or dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction. 2. Multiplying the numerator or dividing the denominator...
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Graded Arithmetic, Book 7

George F. Cole - 1909 - 368 pages
...changed to thirty-seconds? To sixteenths? To eighths? To fourths? To halves? State principle involved. Dividing both numerator and denominator of a fraction by the same number does not change the value of the fraction but does change the form of the fraction. UNIT 1 •2 1 T...
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Practical Arithmetic: Book I -- [book II], Volume 2

Lorenzo Dow Harvey - Arithmetic - 1909 - 412 pages
...the (fraction). Dividing the (denominator) of a (fraction) multiplies the (fraction). Multiplying or dividing both (numerator) and (denominator) of a (fraction) by the same number does not change the value of the (fraction). In the foregoing statements, substitute the word "antecedent...
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Advanced Arithmetic

John William McClymonds, David Rhys Jones - Arithmetic - 1910 - 332 pages
...-. 10. What effect upon the quotient has dividing both dividend and divisor by the same number ? Is dividing both numerator and denominator of a fraction by the same number the same as dividing both dividend and divisor by the same number ? Multiplying or dividing both terms...
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For grades I-IV

Fletcher Durell, Elizabeth Hall - Arithmetic - 1911 - 388 pages
...denominator of a fraction by the same number alter the value of the fraction? Show this by examples. 7. Does dividing both numerator and denominator of a fraction by the same number alter the value of the fraction ? Show this by examples. 8. If Walter had | of a melon, and gave his...
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New Graded Lessons in Arithmetic: Part I-[III], Part 2

Wilbur Fisk Nichols - Algebra - 1911 - 268 pages
...number to an improper fraction. ***-*- 16 = j 7H. 8 Cancel whenever possible. We have learned that dividing both numerator and denominator of a fraction by the same number does not change its value. Crossing out or canceling equal factors from both terms is called cancellation....
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Mathematics for Agricultural Students

Henry Charles Wolff - Mathematics - 1914 - 332 pages
...6. z4 - x3ij - xi/3 + y4. 3. ax2 - 2axy + ay2 + 6x2 - 2/jj-i/ + bif. 12. Fractions. Multiplying or dividing both numerator and denominator of a fraction by the same number, excepting zero, does not change the value of the fraction. To reduce a fraction to its lowest terms,...
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