« ΠροηγούμενηΣυνέχεια »
81. Reduce and } and f to a common denomi pator.
82. Add together and %.
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; go he kept it himself. Could you bave told if you had been there? How would you divide it? How much would be left?
2. A man sold 14 bushels of wheat to one man, 4 bushels to another; how many bushels did he sell to both ?
3. A man bought 64 bushels of wheat at one time, and 24 at another; how much did he buy in the whole ?
4. A man bought 74 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 oue time, 24 barrels at another, and 64 at another; how much did he buy in the whole?
6. A man bought one sheep for 47 dollars, and another for 58 dollars ; how much did he give for both ?
7. There is a pole standing, so that of it is in the mud, and f of it in the water, and the rest on: of the water; how much of it is out of the water?
8. A man, having undertaken to do a piece of ** ork, did of it the first day, 5 of it the second ay, 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 ali 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 t, and that is the same as ; , can therefore be reduced to }, and to g. This is called reducing fractions to their lowest terms.
1. Reduce s to its lowest terms.* Ans. #. 2. Reduce to its lowest terms. 3. Reduce to its lowest terms. 4. Reduce it to its lowest terms. 5. Reduce if to its lowest terms. 6. Reduce is to its lowest terms. 7. Reduce to its lowest terms. 8. Reduce ti to its lowest terms. 9. Reduce to its lowest terms. 10. Reduce to its lowest terms. 11. Reduce to its lowest terms. 12. Reduce it to its lowest terms. 13. Reduce to its lowest terms. 14. Reduce 47 to its lowest terms.
Note. It will be seen by the above section, that, ni both the numerator and denominator be multiplied by the same number, the value of the fractions will not be altered; or, if they can both he divided hy the same number without à remainder, the fraction will not be altered.
* If this article should be found 100 difficult for dhe pupil, bre may ounit it will uller the next section.
A. 1. A boy, having of an orange, gave aways of that; what part of the whole orange
did he give
2. What is of 1?
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 4 of 1?
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 ach of the parts be .cut in two,
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 7 of 1?
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, gave away of what he had. Wbat part of the whole quart did he give away?
14. What is 7 of 1? 15. What is I 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 į? te. What is }
19. What is t of gi
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 f off?
31. A boy, having f 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 t of them. But 1 of 4 is $; therefore I shall have of the whole pine-apple.
32. What is of 1?
33. A man, owning i of a share in the Boston Bank, sold } of his part; what part of a share did he sell ?
34. What is 4 of ?
35. A man, owning of a ship, sold of his share ; what part of the whole ship did he sell ?. What part
had he left ? 36. What is t of $? 37. What is 1 of 38. What is of 39. What is of 40. What is į of y? 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 į 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 cach piece?
46. What is off 47. What is į off 48. What is of 49. What is $ of 50. What is to of $ 51. What is $ of ? 52. What is of } 53. What is of 54. What is of 55. What is į of 56. What is of 57. What is 58. What is an of 59. What is of 60. What is, of 61. What is f of 62. What is į of * 63. What is of 64. What is it of 65. What is to off 66. What is of ? 67. What is of ? 68. What is of #?
69. If a yard of cloth cost 2 dollars, what will $ of a yard cost?
70. What is 4 of 21? 71. A boy had 2 oranges, and wished to give } of them to his sister, and ļ to his brother; but he