to one man, and of a bushel to another; but he could not tell how to divide it. Another man standing by advised him to divide the whole bushel into six equal parts first, and then take of them for one, and of them for the other. How many parts did he give to each? How many to both? How many had he left? 14. is how many? is how many ¦ ? ¦ and are how many? 15. A man paying some money to his labourers, gave each man of a dollar, and each boy of a dollar; how much more did he give to a man than to a boy? 16. What is the difference between 1 and ¦ ? 17. If a man can earn of a dollar in a day, and a boy of a dollar, how much does the man earn more than the boy? 18. What is the difference between 4 and? 19. A boy distributing some nuts among his companions, gave of a quart to one, and of a quart to another; how much more did he give to one, than to the other? NOTE. Change them to sixths. 20. What is the difference between 1 and } ? 21. A man having two bushels of grain to distribute among his labourers, wished to give of a bushel to one, and of a bushel to another, and the rest to a third; but was at a loss to tell how to divide it; at last he concluded to divide each bushel into six equal parts, or sixths, and then to distribute those parts. How many sixths did he give to cach? 22. is how many? 23. A man had a horse, and a cow, and a sheep. The horse would eat of a load of hay in the win ter, the cow, and the sheep. load would each eat? How many eat? How many loads? How many of a would they all 24. A boy having a quart of nuts, wished to divide them, so as to give one companion, another , and a third of them; but in order to make a proper division, he first divided the whole into eight equal parts, and then he was able to divide them as he wished. How many eighths did he give to each? How many eighths had he icft for himself? 25. is how many? is how many ? and and are how many? 26. A man gave 3 of a barrel of flour to one man, and of a barrel to another; to which did he give the most? How much? 27. Which is the largest or? How much the largest ? 28. A boy having a pound of almonds, said he intended to give of them to his sister, and to his brother, and the rest to his mamma. His mamma smiling said she did not think he could divide them so. O yes I can said he, I will first divide them into twelve equal parts, and then I can divide them well enough. Pray how many twelfths did he give to each? 29. and is how many is how many? are how many? 30. Mr. Goodman having a pound of raisins, said he would give Sarah, and Mary 4, and James of them, and he told Charles he should have the rest, if he could tell how to divide them. Well, said Charles, I would first divide the whole into twelve equal parts, and then I could take and and of them. How many twelfths would each have? 31. and and are how many '1⁄2 ? 32. George bought a pine apple, and said he would give of it to his papa, and to his mamma, and to his brother James, if he could divide it. James took it, and cut it into twenty equal pieces, How and then distributed them as George had desired. many twentieths did he give to each ? is how many? is how many? is how many? is how many? 33. 34. is how many? 35. is how many '? is how many 10 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. 46. is how many 15 ? are how many 35 are how many are how many? 47.3 are how many 20 ? 48. Reduce to sixths and to sixths. 49. and are how many? 50. Reduce and to eighths. 51. and are how many? 52. and are how many ? 53. and are how many ? are how many ? are how many ? 56.and and and are how many? and are how many? are how many? are how many ? and are how many? and and and are how many are how many? are how many ?? 65. and 66. less are how many 13 ? are how many? 67. and less 68. less are how many? 69.5 less are how many +- ? 70. less are how many 35 71. 1 and 2, and 1, and, less 5 are how many 24 ? 72. and, and, and, and, less are how many 73. and 74. and 75. 4 and ? T ? are how many 'When the denominators in two or more fractions are the same, the fractions are said to have a common denominator. Thus and 3 have a common denominator. We have seen that when two or more fractions have a common denominator, they may be added and subtracted as well as whole numbers. We add or subtract the numerators and write their sum or difference over the common denominator. The first part of the process in the above examples was to reduce them to a common denominator. 76. Reduce and to a common denominator. NOTE. They may be reduced to twelfths. If it cannot be immediately seen what number must be the common denominator, it may be found by multiplying all the denominators together; for that will always produce a number, divisible by all the denominators. 77. Reduce and to a common denominator. 78. Reduce and 3 and to a common denomi 81. Reduce and 2 and 3 to a common denomi and 84. Add together 85. Add together aud and . 86. Subtract from . 10 87. Subtract from 3. 88. Subtract from 3. 89. Subtract from B. 1. Mr. F. said he would give of a pine ap ple 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, 4 bushels to another; how many bushels did he sell to both ? 3. A man bought 6 bushels of wheat at one time, and 2 at another. How much did he buy in the whole ? 4. A man bought 73 yards of one kind of cloth, and 63 yards of another kind; how many yards in the whole? 5. A man bought of a barrel of beer at one time, 2 barrels at another, and 63 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 was out of the water? |