B. 1. Mr. F. said he would give of a pine-apple to Fanny, and to George, and the rest to the one that could tell how to divide it, and how much there would be left. But neither of them could tell; so he kept it himself. Could you have told if you had been there? How would you divide it? How much would be left? 2. A man sold 1 bushels of wheat to one man, 42 bushels to another; how many bushels did he sell to both? 3. A man bought 6 time, and 24 at another; the whole ? bushels of wheat at one how much did he buy in 4. A man bought 7 yards of one kind of cloth. and 6 yards of another kind; how many yards in the whole? 5. A man bought of a barrel of beer at one time, 24 barrels at another, and 6 at another; how much did he buy in the whole ? 6. A man bought one sheep for 4 dollars, and another for 5 dollars; how much did he give for both? 7. There is a pole standing, so that of it is in the mud, and of it in the water, and the rest out of the water; how much of it is out of the water? 8. A man, having undertaken to do a piece of work, did of it the first day, of it the second day, and of it the third day; how much of it did he do in three days? 9. A man, having a piece of work to do, hired two men and a boy to do it. The first man could do of the work in a day, and the other of it, and the boy of it; how much of it would they all do in a day? C. It will be seen, by looking on plate III. that is the same as, and that is the same as, and that is the same as ;, &, can therefore be reduced to, and to. This is called reducing fractions to their lowest terins. 1. Reduce to its lowest terms.* 4. Reduce to its lowest terms. Ans.. 5. Reduce to its lowest terms. 6. Reduce to its lowest terms. 7. Reduce to its lowest terms. 8. Reduce to its lowest terms. 9. Reduce to its lowest terms. 0. Reduce to its lowest terms. 11. Reduce to its lowest terms. 12. Reduce to its lowest terms. to its lowest terms. 13. Reduce to its lowest terms. Note. It will be seen by the above section, that, if both the numerator and denominator be multiplied by the same number, the value of the fraction will not be altered; or, if they can both be divided by the same number without a remainder, the fraction will not be altered. *If this article should be found too difficult for the pupil, he may omit it till after the next section. SECTION XIV. A. 1. A BOY, having of an orange, gave away of that; what part of the whole orange did he give away? 2. What is of ? 3. If you cut an apple into three pieces, and then cut each of those pieces into two pieces, how many pieces will the whole apple be cut into? What part of the whole apple will one of the pieces be? 4. What is of ? 5. A boy had of a pine-apple, and cut that half into three picces, in order to give away of it. What part of the whole apple did he give away? 6. What is of †? 7. If an orange be cut into 4 parts, and then each of the parts be cut in two, how many pieces will the whole be cut into ? 8. What is of ? 9. A man, having a barrel of flour, sold of that; how much did he sell? 10. What is of ? 11. If an orange be cut into 4 equal parts, and each of those parts be cut into 3 equal parts, how many parts will the whole orange be cut into? 12. What is of ? 13. A boy, having of a quart of chestnuts, What part of the gave away of what he had. whole quart did he give away? 14. What is of } ? 15. What is of †? 16. A man, owning of a ship, sold of his share; what part of the ship did he sell, and what part did he then own? 17. What is of ? 18. What is of ? 28. What is of } ? 29. A boy, having pieces,) gave his sister many thirds did he give 30. What is of ? 31. A boy, having of a pine-apple, said he would give one half of what he had to his sister, if she could tell how to divide it. His sister says, You have got, or three pieces; if you cut them all in two, you can give me of them. But of is; therefore I shall have of the whole pine-apple. 32. What is of 2? 33. A man, owning Bank, sold of his part; 40. What is of 12? 41. What is of ? 42. A man, owning of a share in the Boston what part of a share did Bank, sold of his part; what part of a whole share did he sell? 43. What is of § ? 44. What is of ? 45. A boy, having of a water-melon, wished to divide his part equally between his sister, his brother, and himself, but was at a loss to know how to do it; but his sister advised him to cut each of the fifths into 3 equal parts. How many pieces did each have? and what part of the whole melon was each piece? 68. What is of ? 69. If a yard of cloth cost 24 dollars, what will of a yard cost? 70. What is of 21? 71. A boy had 24 oranges, and wished to give of them to his sister, and to his brother; but he |