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. 1827 Excerpt: ... omitted and set before the same fraction after the operation, as the nature of the question may require. 5. If T'T and T% of a dollar be expressed by parts of a dollar equally divided, what fractions will express both quantities? Ans. T2T8T and T8T. 6: A owns I of a stage and D T3T; which owns the greatest part? Ans. ...
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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. 1827 Excerpt: ... omitted and set before the same fraction after the operation, as the nature of the question may require. 5. If T'T and T% of a dollar be expressed by parts of a dollar equally divided, what fractions will express both quantities? Ans. T2T8T and T8T. 6: A owns I of a stage and D T3T; which owns the greatest part? Ans. A. Explanation, --Aitet a common denominator is found, the numerators will show which is the greatest fraction. ADDITION OF VULGAR FRACTIONS. Illustration.--When a single thing of any kind is divided into several equal parts, or two equal things are so divided, any number of those parts may be added together in the same manner as simple numbers. If a hogshead of wine be divided into 63 equal parts, and one man have 9 of those parts, and another 8, both would have 17 parts, the sum of 9 and 8; or, in other words, both men would possess 17 gal. of wine; for, as 63 gal. equal a hhd. T1 part of a hhd. is one gal. The same expressed in a fractional form is thus, fe+-g'?=h adding the numerators only. It is necessary to write the common denominator under those parts owned by each man. to show that the parts owned by one, are just as large as those owned by the other. But if we suppose one hhd. of wine divided into 63 equal parts, and one man to possess 9 of these parts, and another hhd. divided into 4 equal parts, and another person to possess one of those parts, we could not add the parts owned by both persons as they stand, since 1 quarter of a hhd., or I, is larger than 1 gal., or. Let the fractions expressing the parts owned by both persons, j-y and i, be reduced to a common denominator, they will be and //T. After the fractions are reduced to a common denominator, each hhd. is supposed di vided into 252 equal parts, and the person who owns J...
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