LESSON V. Fractions (or fractional parts of the same thing or number) having the same name or denominator are added and subtracted in the same manner as whole numbers are added and subtracted. 1. 1 half and 2 halves and 3 halves and 4 halves, less 6 halves, are how many halves? How many whole ones? 2. 2 thirds and 4 thirds and 5 thirds and 7 thirds, less 6 thirds, are how many thirds? How many whole ones? 3. 3 fourths and 5 fourths and 6 fourths and 10 fourths, less 8 fourths, are how many fourths? How many whole ones? 4. 2 fifths and 3 fifths and 4 fifths and 6 fifths, less 10 fifths, are how many fifths? How many whole ones? 5. 8 sixths and 7 sixths and 5 sixths and 4 sixths, less 12 sixths, are how many sixths? How many whole ones? 6. 3 sevenths and 4 sevenths and 5 sevenths and 9 sevenths, less 7 sevenths, are how many sevenths? How many whole ones? 7. 10 eighths and 9 eighths and 7 eighths and 4 eighths, less 6 eighths, are how many eighths? How many whole ones? 8. 4 ninths and 5 ninths and 6 ninths and 7 ninths and 8 ninths, less 3 ninths, are how many ninths? How many whole ones? 9. 9 tenths and 8 tenths and 7 tenths and 6 tenths and 5 tenths and 3 tenths, less 8 tenths, are how many tenths? How many whole ones? 10. 4 elevenths and 5 elevenths and 6 elevenths and 10 elevenths, less 3 elevenths, are how many elevenths? How many whole ones? 11. 10 twelfths and 9 twelfths and 8 twelfths and 7 twelfths and 6 twelfths, less 4 twelfths, are bow LESSON VI. When fractions having different names or denomi nators are to be added or subtracted, they must first be changed to fractions having the same name or denominator. This may be done by multiplying the numerator and denominator of one or both of the given fractions by such number as will produce the same number for a denominator of each fraction. 3. What is the sum of 4. What is the sum of 5. What is the sum of 6. What is the sum of 7. What is the sum of 8. What is the sum of 9. What is the sum of 10. What is the sum of 4 12 and? 5 11%, and ? What the difference? ΤΣ and? What the difference? and? What the difference? 11. Harriet purchased of a yard of cloth at one store, and of a yard at another. How many fourths of a yard did she purchase? how many yards 12. Augusta paid of all her money for a shawl, and of it for a bonnet; what part of her money had she remaining? 13. Henry purchased a pine-apple, and gave of it to his sister, and of it to his brother; what part of it had he left? 14. A man having undertaken to perform a job of work, did of it the first day, of it the second day, and 1 3 the remainder of it the third day; what part of it did he do the third day? 15. A market-woman sold & of all her apples to one man, and of them to another; what part of them had she remaining unsold? FEDERAL MONEY. Federal money is the national currency of the United States. The denominations of Federal money are, the eagle, E.; the dollar, $; the dime, d.; the cent, c.; and the mill, m. The gold coins are, the eagle, the double-eagle, the half-eagle, the quarter-eagle, and the dollar. The silver coins are, the dollar, the half-dollar, the quarter-dollar, the dime, the half-dime, and the three-cent piece. The copper coins are, the cent and the half-cent. The following table exhibits the value of the fractional parts of one dollar, expressed in cents, which are in com In New York, and some other states, the denominations of money in common use are dollars, shillings, and pence; the dollar being equal to 8 shillings or 100 cents, the shilling 12 cents, and the penny 1 cent. ENGLISH MONEY. The denominations of English money are, the pound, £.; the shilling, s.; the penny, d. ; and the farthing, qr. Troy weight is used in weighing gold, silver, platina, diamonds, and other precious stones. The denominations of troy weight are, the pound, lb.; the ounce, oz.; the pennyweight, pwt.; and the grain, gr. The standard troy pound of the United States is the weight of 22.794377 cubic inches of distilled water weighed in air. AVOIRDUPOIS WEIGHT. Avoirdupois weight is used in weighing most kinds of merchandise, and all metals except silver and gold. Its denominations are, the ton, t.; the hundred-weight, cwt.; the quarter, qr.; the pound, lb. ; the ounce, oz.; and the dram, dr. APOTHECARIES' WEIGHT. This weight is used only by apothecaries and physicians in compounding medicines. Its denominations are, the pound, lb. ; the ounce, 3; the dram, 3; the scruple, &; and the grain, gr. This measure is used in measuring distances, lengths, breadths, heights, and depths. Its denominations are, the degree, deg.; the league, lea.; the mile, m.; the furlong, fur.; the rod, rd.; the yard, yd. ; the foot, ft.; and the inch, in. 12 gross =1 great gr. 20 quires 1 quire. 1 ream. 1 bundle. |