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" If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unchanged. "
Higher Book - Page 71
by William Seneca Sutton - 1896
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The elements of algebra

Archibald Montgomerie - Algebra - 1857 - 116 pages
...the numerator and denominator of a fraction bo both multiplied by the same number, or both divided by the same number, the value of the fraction is not changed. 27. A fraction is multiplied by any quantity, cither by multiplying the numerator or dividing the denominator...
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...any quantity be both multiplied and divided by the same number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied...by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number,...
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A Treatise on Algebra: For the Use of Schools and Colleges

William Smyth - Algebra - 1858 - 344 pages
...demonstrating certain properties in relation to known and given numbers. 1. To demonstrate that if both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Let the proposed fraction be designated by -, and let n be any number whatever....
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Davies' University Arithmetic: Embracing the Answers, and a Full Analysis ...

Charles Davies - Arithmetic - 1861 - 496 pages
...each part; henco the value of the fraction is not changed: therefore, PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. 1. Multiply both terms of the fraction f by 4, by 6, and by 5 2. Multiply...
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Practical Arithmetic: Embracing the Science and Applications of Numbers

Charles Davies - Arithmetic - 1863 - 346 pages
...hence, the value of the fraction is not changed : therefore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of the fraction will not be changed. Examples. , 1. Multiply the numerator and denominator of -f by 7 : this gives,...
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A mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...terms. What fraction is | x Ц of ф ? 7* : ~ A + 4 (4 - *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be multiplied...the same number, the value of the fraction is not altered. 4. Divide -0022498 by 2-67, and reduce — - to a decimal. 2s x 5s Find the value of -0625...
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Algebra for the Use of Colleges and Schools: With Numerous Examples

Isaac Todhunter - Algebra - 1866 - 580 pages
...any quantity be both multiplied and divided by the same number its value is not altered. Hence if the numerator and denominator of a fraction be multiplied...by the same number the value of the fraction is not altered. For the fraction is multiplied by any number by multiplying its numerator by that number,...
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Nelson's Common-school Arithmetic: Designed for the Use of the Lowest as ...

Richard Nelson - Arithmetic - 1867 - 304 pages
...expresses the ratio between the two terms. ^=3 : 12. . PRINCIPLES OF FRACTIONS. 197. If both terms of a fraction be multiplied by the same number, the value of the fraction will remain unaltered. Let the 1 and 4 of the fraction J be multiplied by 2, and we have |-, a fraction...
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Arithmetic simplified, a suppl. to Elements of physics

Neil Arnott - 1867 - 84 pages
...§ 33. (b) If both terms (numerator and denominator) of a fraction are either multiplied or divided by the same number, the value of the fraction is not changed. Thus f. so multiplied by 2 becomes |- (four sixths), equal to •§-—if multiplied by 4 it becomes...
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University Arithmetic: Embracing the Science of Numbers, and General Rules ...

Charles Davies - Arithmetic - 1867 - 354 pages
...hence, the value of the fraction is not diarized ; thereore, we have PROPOSITION V. — If both terms of a fraction be multiplied by the same number, the value of tIie fraction will not be changed. EXAMPLES. 1. Multiply the numerator and denominator of \ by 7 :...
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