4. What part of 1 is of ? of? } of {? $0

? of? of?

5. If 18 dollars [18 and

Iv among 3 men, what will each man receive?

dollars] be divided equal

6. What is of 184?

Sol. of 18 is 6;

ofis 12; 6 plus 12 is 612.

7. What is of 30? of 24

of 18?

of his money

8. A boy, having of a dollar, paid

for a knife. What part of a dollar did he pay?

9. ofis equal to

what part of 1?

Solution. One-fourth ofis equal to ; three-fourths of is equal 3 times, which is

10. What part of 1 is of ? of?

? of? of?

of? of

11. A girl having of a dollar, paid of her money for a book. What part of a dollar did she pay? 12. of is equal to

what part of 1?

4

Solution.of one-fourth [ times is] is equal to ofis 3 times, which is .

13. Which is the greater fraction of a dollar,-3 of of a dollar, or, of of a dollar?

14. What part of I is off 3 ! or ૢ of 2 of 2 of 7?

15. If 4 cloaks are to be made from 123 yards of cloth, how many yards must be put into each cloak? 16. What is of 12% ?

of 12 is 3: of is, of is 32:

Solution.

then 3 plus

17. What is

18. A boy having of a dollar, paid

of 457?

of his money

for a book. What part of a dollar did he pay?

19. of is equal to

what part of 1?

Solution.

of is equal to ; of 1 is 12; 2 of 3

13

6

is 2 times, or is equal to .

12. 12 1.

qual

honey

urths

Oney

28.

79

20. of an acre of land was divided into 5 equal lots, and a gardener bought 3 of the lots. What part of an

acre did he buy?

Direction. First find what part of an acre there was in one lot;- then, what part in 3 lots.

21. What part of 1 is 3 of 3?

Direction. First find what part of a whole one of

is; then find of 3,-and then

22. What part of 1 is of ?

3? 3 of 2? & of ?

23. A merchant, who owned

of.

of? of? of

of a ship, sold of

his share What part of the ship did he sell?

24. What part of 1 is of ? of? of? of 뭐? 응 이음? 좋음?

25. Suppose a piece of broad-cloth to contain 323

yards;-how many yards are there in

Direction. First find 3 of 32; then

26. What is of 202 of 365
of 54? 7% of 50?

35%

SECTION 28.

of the piece?

find 3 of 2.

of 40%

of

1. Suppose you have of an orange and of an orange, into how many parts must you cut the third, and into how many parts the fourth, so that the parts of

the third, and of the fourth shall be of equal size?

We here see,

that when

is divided into 4 parts,

and into 3 parts, the

parts are all twelfths.

In this example 12 is found to be a Common Denominator; and the two fractions and, become

2. Change and to a common denominator: that is, find how many parts a half, and how many a third must be divided into, so that the parts shall be equal: also find how many of these parts would make a whole one.

Observation. If two denominators be multiplied to. gether they will produce a common denominator.

3. Change and to a common denominator. Solution. 3 times 5 is 15, the common denominator. of 15 is. Answer.

ofis;

4. Change and

5. Change and
6. Change and
7. Change
8. Change and

and

and.

to a common denominator.
to a common denominator.
to a common denominator.
to a common denominator.
to a common denominator.

to twelfths.

to twenty-fourths.

to thirtieths.

12. Change

Solution.

of 20 is;

and to a common denominator.

12

4 times 5 is 20, the common denominator
of 20 is, is 3 times, 20
to a common denominator.
to a common denominator.
to a common denominator.
to a common denominator.
to a common denominator.
to a common denominator.

13. Change and
14. Change and
15. Change and
16. Change and
17. Change and
18. Change and
19. Change and 1⁄2 to a common denominator.
20. Change and to a common denominator.
21. How much is and added together.

Solution. is equal to, and is 14

is equal to and is plus is 29, equal to 1.

26

22. How much is } and

added together?

added together?

added together?

added together?

26. How much is

27.and and

are how many twelfths?

28. and and

5

are how many twelfths?

29. and and are how many sixteenths?

30. If be taken from 3, how much will remain? Solution. [ times is]. is equal to, is

is equal to, is

5

. Then minus is ·

33. Take 34. Take

35. Take

from 2,-how much remains?/2
from 7,-how much remains '

from 2,-how much remains?

36. Take from,-how much remains? 1242

37. Take from 1,-how much remains?

SECTION 29.

1. A farmer gathered 213 bushels of apples from one tree, and 10 from another. How many bushels did he 103 gather from both trees?

Direction. First add together the whole bushels, then change the fractions of a bushel to a common denominator and add the new numerators.

2. If a bonnet cost 53 dollars and a shawl 5 dollars, how much do they both cost?

3. On a certain day, I travelled 30 miles in a stage, 15 miles in-a gig, and 10 miles on horseback. How many miles did I travel that day?

4. A farmer sold a cow for 237 dollars, and a calf for 4 dollars. How much did he get for both?

5. Three soldiers shared a loaf of bread as follows:the first man took of it, the second took of it, and the third took the remainder. What part of the loaf did the third soldier get?

6. Three men, A, B, and C, are to reap a field of wheat-A is to reap of it, B of it, and C the remainder. What part of the field is C to reap?

7. A trader, having 2 barrels of flour, sold of a barrel to one man, and of a barrel to another man. What part of a barrel had he remaining?

8. A man, having 10 dollars, paid away 4 dollars for a hat, and 3 dollars for a pair of boots. How many dollars had he left?

9. A miller, having 20 bushels of corn, sold 63 bushels to one man, and 9 to another. How many bushels had he remaining?

10. A man paid 25 dollars for a watch, and 23 dollars for having it repaired, and then sold it so as to gain 3 dollars. For how much did he sell it?

SECTION 30.

I Suppose I had 4 oranges, to how many boys could I give of an orange apiece?

Direction. Find how many thirds of 1 orange in 4 Oranges, then find how many times 2-thirds there are. 2. How many times is contained in 4?

Solution. 1 is equal to 3, and 4 is equal to 4 times or then is contained in 12, 6 times.

3. How many pairs of gloves can I buy for 6 dollars, the price being of a dollar a pair?

4. How many times is contained in 6?

5. Suppose a man to walk 1 mile in 3 of an hour,what distance will he walk in 1 hour?

6. How many times is contained in 1? Solution. 1 is equal to . in 2, 4 times. 7. How many yards of cloth, that is sold for of a dollar a yard, can be bought for 4 dollars?

8. How many times is contained in 4?

9. How many pounds of tea, that is sold for of a dollar a pound, can be bought for 4 dollars? 10. How many times is contained in 4? 11. If of a barrel of biscuit will last a ship's crew 1 week, how many weeks will 31⁄2 barrels last them? 12. How many times is contained in 35?

13. How many yards of cloth, at of a dollar per yard, can be bought for of a dollar?

Solution. of a dollar is equal to

of a dollar; } of a dollar is equal to 12 of a dollar. As many yards can be bought as is contained times in 12. 14. How many times is contained in ? ~15. If a man can hoe of how many days can he hoe 16. How many times is 17. How many times is Direction. Change both nominator; then divide one 18 How many times is 19. How many times is 20. How many times is

a field of corn in 1 day, in of the field? contained in ?? contained in §? fractions to a commɔn de numerator by the other. contained in ? §? contained in? contained in?