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 7 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 64 at 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?

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 the 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 3. This is called reducing fractions to their lowest terms.

to its lowest terms.

7. Reduce डं 8. Reduce 18

24

J 4

to its lowest terms.

to its lowest terms.

9. Reduce to its lowest terms.

35

8

10. Reduce to its lowest terms.

40

25

11. Reduce to its lowest terms.

30

12. Reduce 2 to its lowest terms.

35

4

13. Reduce 2 to its lowest terms.

56

14. 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.

SECTION XIV.

A. 1. A boy having of an orange gave

*If this article should be found too difficult for the pupil, he may omit it till after the next section.

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

I

6. What is of ?

7. If an orange be cut into four 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 chesnuts, gave away of what he had.

What

part of the whole quart did he give away? 14. What is of ?

16. A man owning of a ship, sold of of his share; what part of the ship did he sell, and what part did he then own?

17. 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. 38

32. What is of ?

33. A man owning

of a share in the

Boston bank, sold of his part. What part

of a share did he sell?

34. What is of ?

35. A man owning of a ship, sold of his share ; what part of the whole ship did he What part had he left?

sell ?

42. A man owning

13

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?

46. What is of ?