This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 Excerpt: ...be both multiplied or both divided by the same quantity, the value of the fraction is not changed. This principle is seen to be true at once, since the terms of a fraction are a dividend and a divisor. It is a useful exercise, however, to derive it from the fundamental laws of algebra (see Art. 33). a _ b Similarly, ...
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This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1909 Excerpt: ...be both multiplied or both divided by the same quantity, the value of the fraction is not changed. This principle is seen to be true at once, since the terms of a fraction are a dividend and a divisor. It is a useful exercise, however, to derive it from the fundamental laws of algebra (see Art. 33). a _ b Similarly, and Or, in general, The signs of any even number of factors of the numerator and denominator of a fraction may be changed without changing the sign of the fraction. But if the signs of an odd number of factors be changed, the sign of the fraction must be changed. TRANSFORMATIONS OP FRACTIONS. I. To Reduce A Fraction To Its Lowest Terms. 137. A fraction is in its lowest terms when its numerator and denominator have no common factor. 138. Direct Reduction. When the terms of the fraction are monomials, or polynomials readily factored, Resolve the numerator and denominator into their prime factors, and cancel the factors common to both. Ex. 1. Reduce to its lowest terms. 48a2ay Divide both numerator and denominator by 12aV (see Art. 135). 36aV 3a The student should notice particularly that in reducing a fraction to its lowest terms it is allowable to cancel a factor which is common to both denominator and numerator, but that it is not allowable to cancel a term which is common unless this term be a factor. Thus, --reduces to-j ac c n-X oj but in 'a of the numerator will not cancel a of the a + y denominator. This is a principle very frequently violated by beginners. 139. Finding H. C. F. of Numerator and Denominator by Division Method. When the numerator and denominator of a fraction cannot be factored by inspection, Find the H. C. F. of the numerator and denominator by the method of Art. 124, and divide both numerator and denominator by their H. C. ..
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Add this copy of A Grammar School Algebra to cart. $59.18, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2011 by Nabu Press.
