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" Both terms of a fraction may be multiplied by the same number without changing the value of the fraction. "
Modern Mathematics: Seventh-[eighth] Year - Page 108
by Raleigh Schorling, John Roscoe Clark - 1925
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Algebra: First Course

Edith Long, William Charles Brenke - Algebra - 1913 - 300 pages
...have a in place of 2 and b in 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...
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A First Course in Algebra

Frederick Charles Kent - Algebra - 1913 - 292 pages
...•£• - ^ b mb where a, b, and m are any numbers whatever, zero excepted. In words, this 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...
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Wentworth-Smith Arithmetics: Grades V and VI

George Albert Wentworth, David Eugene Smith - Arithmetic - 1914 - 378 pages
...fraction by 2, and that ^ may be obtained from •£•$ by dividing both terms by 5. That is, Both 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....
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Essentials of Arithmetic: Primary Book

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 312 pages
...both terms by 2, and that ^ can be obtained from i^j- by dividing both terms by 5. That is, Both 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....
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Essentials of Arithmetic: Grammar School Book

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 550 pages
...fraction by 2, and that ^ may be obtained from fa by dividing both terms by 5. That is, Both 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....
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Essentials of Arithmetic: Intermediate Book

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 316 pages
...fraction by 2, and that ^ may be obtained from J_ by dividing both terms by 5. That is, Both 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....
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Essentials of Arithmetic, Volume 2

George Wentworth, David Eugene Smith - Arithmetic - 1915 - 314 pages
...fraction by 2, and that ^ may be obtained from -f^ by dividing both terms by 5. That is, Both 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....
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Algebra, by Maximilian Philip

Maximilian Philip - 1916 - 224 pages
...b2 + 4b — 4 2 с3 — 4 с2x . ас — 2с — 3а + 6 13. Prove that numerator and denominator may be multiplied by the same number without changing the value of the fraction. 14. Is the value of a fraction changed if the same number is added to both numerator and denominator?...
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Intermediate Algebra

Herbert Ellsworth Slaught, Nels Johann Lennes - Algebra - 1916 - 280 pages
...is, 6x—=a. b 75. Fundamental Theorem on Fractions. Both terms of a fraction may be divided or both may be multiplied by the same number without changing the value of the fraction. Proof. If a, 6, and k are any numbers, we are to prove that ak _a ш~ъ' From § 74, we have a = -...
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City Arithmetics, Part 2

William Aloysius Boylan, Floyd R. Smith - Arithmetic - 1916 - 152 pages
...change the value of the quotient. Likewise, we may multiply both numerator and denominator of a fraction by the same number without changing the value of the fraction. 6. Multiply both numerator and denominator by 3 : j, f , £. Is the value of the fraction changed ? 7....
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