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" Both terms of a fraction may be multiplied by the same number without changing the value of the fraction. "
Applied Arithmetic: The Three Essentials. Book I-[III] - Page 56
by Nels Johann Lennes, Frances Jenkins - 1920
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Arithmetic ...

George Wentworth, David Eugene Smith - Arithmetic - 1911 - 360 pages
...|, and so on, each term of the first fraction being divided by the same number to make the second. Both terms of a fraction may be divided by the same...number without changing the value of the fraction. For example, When both terms cannot be divided by the same number, the fraction is said to be in lowest...
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Elements of Business Arithmetic

Anson Hardin Bigelow, William Allen Arnold - Business mathematics - 1911 - 296 pages
...changed and in exactly the same ratio. In other words, the terms of a fraction may be multiplied or divided by the same number without changing the value of the fraction. When the change results in terms of less numerical value, the fraction has been simplified or reduced...
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Academic Algebra

George Wentworth, David Eugene Smith - Algebra - 1913 - 478 pages
...important laws of a ratio whose terms are positive. 1. Both terms of a ratio may be multiplied, or both may be divided, by the same number without changing the value of the ratio. A ratio being a fraction, the laws of fractions are true for ratios. 2. A ratio of greater inequality...
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Algebra: First Course

Edith Long, William Charles Brenke - Algebra - 1913 - 300 pages
...place of 3, and may write a _ 3 a _ na b ~3l> ~n6* Rule. The two terms of a fraction may be multiplied by the same number without changing the value of the fraction. That is, if ; - ft then ^ = q. ., a , , na (6) Cancellation. If both terms of a fraction contain the same factor,...
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School Algebra, Book 2

George Albert Wentworth, David Eugene Smith - Algebra - 1913 - 310 pages
...important laws of a ratio whose terms are positive. 1. Both terms of a ratio may be multiplied, or both -may be divided, by the same number without changing the value of the ratio. 2. A ratio of greater inequality is decreased, and a ratio of less inequality is increased,...
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Advanced Algebra

Joseph Victor Collins - Algebra - 1913 - 362 pages
...product. Cancellation of factors in numerators and denominators evidently depends on the principle that both terms of a fraction may be divided by the same quantity without altering its value. EXAMPLES. SOLUTION /n\ x ~ + (l) • 5a ,(•(„ + r )j^5X 5...
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A First Course in Algebra

Frederick Charles Kent - Algebra - 1913 - 292 pages
...means that the numerator and the denominator of a fraction may be multiplied by the same number or divided by the same number without changing the value of the fraction. 135. Common Factors. The numerator and denominator of a fraction often have one or more factors in...
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Wentworth-Smith Arithmetics: Grades V and VI

George Albert Wentworth, David Eugene Smith - Arithmetic - 1914 - 378 pages
...terms of a fraction may be multiplied by the same number without changing the value of the fraction. Both terms of a fraction may be divided by the same...number without changing the value of the fraction. When we change the terms without changing the value of a fraction we reduce the fraction. When both...
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The Stone-Millis Arithmetics: Intermediate

John Charles Stone - Arithmetic - 1914 - 300 pages
...14. 12. = i5. 16. 17. i8. In the examples given we have illustrations of the following principles: I. Both terms of a fraction may be divided by the same...number without changing the value of the fraction. Change to smallest terms: 21. -f%; Tj-j-; /?) 2j ; 2T' 2~f' 25. f-|; 3 g-; -^g-; : j~ g -. 99 _4_-...
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The Stone-Millis Arithmetics, Volume 2

John Charles Stone, James Franklin Millis - Arithmetic - 1914 - 336 pages
...£ = | = \. 18. f=| = TV In the examples given we have illustrations of the following principles: I. Both terms of a fraction may be divided by the same number without changing the value of the fractionChange to smallest terms : 19. Д; -If; &; &; •&; Д. 23. &; ft; J$; ft, 20. A; #; A; ii;...
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