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 2, 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 terms. 1. Reduce & to its lowest terms.* to its lowest terms. to its lowest terms. Ans. 2. 39. 40. 41e; 42id Ban shar to its lowest terms. will be seen by the above section, that, numerator and denominator be multisame number, the value of the fraction altered; or, if they can both be divided ne number without a remainder, the fracnot be altered. s article should be found too difficult for the pupil, he may I 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 pieces, 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, ho many parts will the whole orange be cut into? 12. What is of 1 ? 13. A boy, having gave away of what he had. at of a quart of che whole quart did he give away? What part of 16. A man, owning of a ship, sold of his shar 3 what part of the ship did he sell, and what part d he then own? 17. What is of ? 13. What is of ? 23. What is of ? 29. A boy, having of an orange, (that is, 2 pieces,) gave his sister of what he had; how many thirds did he give her? 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 £? 33. A man, owning Bank, sold of his part; he sell? 34. What is of £? 35. A man, owning share; what part of the What part had he left? 36. What is of ? 37. Wh1 is of ? 40. What is of 12? 41. What is of ? 42. A man, owning of a share in the Boston 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 2 dollars, what will of a yard cost? 70. What is of 21? 71. A boy had 2 oranges, and wished to give of them to his sister, and to his brother; but he did not know how to divide them equally. His brother told him to cut the whole into halves, and then cut each of the halves into 3 pieces. What part of a whole orange did each have? 72. What is of 21? 73. A man bought 4 bushels of corn for 33 dollars; what part of a dollar did 1 bushel cost? Change the 33 to thirds, and then find of ai above. 74. What is of 5}? 75. If 5 bushels of wheat cost 7 dollars, what is that a bushel? 76. What is of 72? 77. A man bought 6 gallons of brandy for 8 dollars; what was that a gallon? 78. What is of 82 ? 79. A man bought 7 gallons of wine for 84 dollars; how much was that a gallon? 80. What is of 84 ? 81. A man bought 10 pieces of nakin for 6g dollars; how much was it a piece? 82. What is of 6g? 83. If 9 bushels of rye cost 7 dollars, what is that a bushel? 88. What is of 94 ? 89. A man bought 7 yards of cloth for 18g dollars; what was that a yard? What would 3 yards cost at that rate? 90. What is of 183? What is of 183? 91. A man bought 5 barrels of cider for 273 dollars; what was it a barrel? cost at that rate? What would 7 barrels 92. What is of 273? What is 3 of 273 ? |