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81. Reduce f and f and to a common denomi Qator.

82. Add together, and .
83. Add together and to
84. Add together š and
85. Add together and and %.
86. Subtract from .
87. Subtract By from
88. Subtract from f.
89. Subtract s from *.

1. Mr. F. said he would give } of a pine-apple to Fanny, and a 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. Gould you have 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 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 clotli, and 67 yards of another kind: how many yards in the whole ?

5. A man bought of a barrel of flour at one time, 21 barrels at another, and 6 at another; how much did he buy in the whole ?

6. A man bought one sheep for 45 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, į 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?

Note. By dividing a line into halves, and then into fourths, it will be seen that is the same as 1, a line divided into halves and then into sixths, will show that is the same as t, and -23 ; 4, 5, can therefore be reduced to 3, and to $. This is called reducing fractions to their lowest terms. It is done by dividing the greatest number that will divide it without a rexnainder. 1. Reduce to its lowest terms.*

Ans. . 2. Reduce so to its lowest terms. 3. Reduce to its lowest terms. 4. Reduce to its lowest terms. 5. Reduce i: to its lowest terms. 6. Reduce is to its lowest terms. 7. Reduce to its lowest terms. 8. Reduce to its lowest terms. 3. Reduce il to its lowest terms. 10. Reduce to its lowest terms. 11. Reduce to its lowest terms. 12. Reduce 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 if both the numerator and denominator be multi plicd 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 frac! tion will not be altered.

* If this article should be found too difficult for the pupil, he midy omit intill after the pext 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 į of į?

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 į of ?

5. A boy had į of a pine apple, and cut that half into three pieces, in order to give away í of it

. What part of the whole apple did he give away?

6. What is į of į?

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 į of 1?

9. A man having į a barrel of flour, sold of That; 10w much did he sell ?

10. What is of į?

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 į of ?

13. A boy having of a quart of chestnuts gave away $ of what he had. What part of the whole quart did he give away !

14. What is į of z? 15. What is į of}? 16. A man owning í of a ship, sold { of his share; what part of the ship did he sell, and what part did . be then own !

17. What is į of } ? 18. What is į of 1?

19. What is of } ? 20. What is } of ? 21. What is

4? 22. What is

i ? 23. What is 1 ?? 24. What is į of a ? 25. What is į of } ? 26. What is į of 4 ? 27. What is į of a ? 28. What is 4 of į ?

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 į of ş?

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 į of them. But of 1 is , therefore I shall have of the whole pine apple.

32. What is į ofi?

33. A man owning of a share in the Boston bank, sold of his part. What part of a share did be sell ?

34. What is į 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 į of f ? 37. What is į of 4 ? 38. What is į of 4 ? 39. What is į of ? 40. What is of 4 ? 41. What is į off ?

42. A man owning í of a share in the Boston bank, sold į of his part; what part of a whole share did he sell ?

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43. What is į of ? 44. What is į of 4 ?

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 ?

46. What is į of f?
47. What is } of
48. What is of ?
49. What is } of
50. What is 'o of
51. What is of
52. What is of
53. What is 1
54. What is of
55. What is į
56. What is of ?
57. What is
58. What is
59. What is
60. What is
61. What is
62. What is
63. What is of
64. What is to of
65. What is y of j?
66. What is of ?
67 What is } of ?
68. What is of ? ?

69. If a yard of cloth cost 2. dollars, what will e of a yard cost ?

70. What is ; of 2; ? 71. A boy had 21 oranges, and wished to 425" ģ of them to his sister, and } to his brother, but he

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