THE NEW AMERICAN ARITHMETIC, Part Third, is designed for the use of those who have completed Part Second of the series, or some similar work. It begins, therefore, with Denominate Fractions, and thus reviews the closing topics in the preceding volume, Decimals and Denominate Numbers. Percentage and its various applications, Profit and Loss, Commission, Brokerage, Insurance, Interest, Stocks, Partial Payments, Banking, and Investments, all of which are of special value in qualifying pupils for mercantile business, are treated fully and practically. Ratio, Proportion, Partnership, Equation of Payments, and Averaging of Accounts, are grouped together, as having much in common in their mode of treatment. A short chapter of problems in Analysis is given, and Involution and Evolution are next explained, preparatory to the article on Mensuration, in which much information of a practical character is embodied. The subjects thus presented complete the topics of the greatest importance to pupils, and as much of the science of arithmetic as is usually taught in our common schools. Such other subjects as are generally found in higher arithmetics are then treated, for the benefit of those who have time to devote to these branches. PHILADELPHIA, 1877. S. M. Copyright, 1877, by J. H. BUTLER & CO. ELECTROTYPED BY MACKELLAR, SMITHS & JORDAN, PHILADELPHIA. THE NEW AMERICAN ARITHMETIC. PART III. DENOMINATE FRACTIONS. A Denominate Fraction is a fraction applied to a denomination; as, £f2, 1 gal., .015 of a mile. Note. In all examples where the word fraction is used, common fraction is meant. CASE I. To reduce a denominate fraction to an equivalent fraction of a lower denomination. ORAL EXERCISES. 1. Reduce qt. to the fraction of a pint. ANALYSIS.—In one quart there are 2 pints, and inqt. there are times 2 pints=or 3 pt. 3 2. Reduce .3 qt. to the decimal of a pint. ANALYSIS.-In one quart there are 2 pints, and in .3 qt. there are .3 times 2 pints = .6 pt. 3. What fraction of a peck is of a bushel? 5 4. What decimal of a peck is .06 of a bushel?. 5. Reduce of a drachm to the fraction of a grain. 6. Reduce .05 of a drachm to the decimal of a grain. 7. What decimal of a day is .08 of a week? 8. 4 of a foot is what fraction of an inch? |