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" If both the numerator and the denominator of a fraction are multiplied by the same number, or divided by the same number, the value of the fraction is not changed. "
The Model Mental Arithmetic: Containing Oral Exercises for Graded and ... - Page 73
by Edgar Arthur Singer - 1876 - 184 pages
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ..., Part 1

Joseph Ray - Algebra - 1848 - 252 pages
...the value (by Prop. III.) is decreased, as many times as there are units in the multiplier. Hence, if both terms of a fraction are multiplied by the same number, the increase from multiplying the numerator, is equal to the decrease from multiplying the denominator;...
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Ray's Algebra, Part First: On the Analytic and Inductive Methods of ...

Joseph Ray - Algebra - 1848 - 250 pages
...tlie value (by Prop. III.) is decreased, as many times as there are units in the multiplier. Hence, if both terms of a fraction are multiplied by the same number, the increase from multiplying the numerator, BEVIEW. — 124. How is the value of a fraction affected by...
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Elements of arithmetic for the use of schools

William Scott - Arithmetic - 1854 - 232 pages
...reduction can be made by dividing both terms by their greatest common measure. The terms being divided by the same number, the value of the fraction is not changed (Art. 70. c.) ; and the terms are rendered prime to each other. (Art. 62.) A fraction, the terms of...
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The Popular Educator, Volume 2

1856 - 418 pages
...relating to Vulgar Fractions. 10. PRINCIPLE 1. — If the numerator and denominator of a fraction be both multiplied by the same number, the value of the fraction is not altered, that is, the valu« of the fraction remains the ваше ai before ; and if the numerator...
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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
...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 mathematical course for the University of London. (2nd)

Thomas Kimber - Mathematics - 1865 - 302 pages
...~ A + 4 (4 - *)> Simplify . 1 + аПП Show that if the numerator and denominator of a fraction be multiplied by 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
...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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Arithmetic for the use of schools. [3 pt. in 1].

Richard Dunkley Beasley - 1867 - 226 pages
...is called a mixed number. 14. To show that if the numerator and denominator of a fraction are both multiplied by the same number, the value of the fraction is not altered. Esample. 3= . 44x5 20 A С DEB 1 iii 1 iiiii 1 iiiiiiiiii Let A В represent unity. Divide...
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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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