4. I bought a book for 3 tenths of a dollar, a slate for 2 tenths of a dollar, a pen for 1 tenth of a dollar, and then had 3 tenths of a dollar left. How many tenths of a dollar did I have at first?

5. Edward gathered 7 twelfths of a quart of walnuts, Joshua gathered 9 twelfths of a quart, and Martin gathered 3 twelfths of a quart. How many twelfths of a quart did they all gather?

5. 6 times 3 fifths =* fifths?

6. 2 times 7 eighths =* eighths?

B. 1. 4 apples equal how many halves of an apple?

SOLUTION. Since 1 apple equals 2 halves of an apple, 4 apples must equal 4 times 2 halves of an apple, which are 8 halves of an apple.

2. 3 bushels equal how many halves of a bushel?
3. 5 pears equal how many halves of a pear?
4. 2 weeks equal how many sevenths of a week?

5. 6 melons equal how many thirds of a melon?
6. 5 peaches equal how many fourths of a peach?

SOLUTION. Since 1 equals 5 fifths, 3 must equal 3

times 5 fifths, which are 15 fifths. Therefore 3 equals 15 fifths.

D. 1. How much will 3 pencils cost, at 3 fifths of a dime each?

SOLUTION. Since 1 pencil costs 3 fifths of a dime, 3 pencils will cost 3 times 3 fifths of a dime, which are 9 fifths of a dime. Therefore 3 pencils at 3 fifths of a dime each will cost 9 fifths of a dime.

2. How much will 6 pairs of shoes cost, at 3 fourths of a dollar per pair?

3. How much will a boy earn in 7 days, if he earns 2 fifths of a dollar per day?

4. How much will 5 quarts of berries cost at 5 eighths of a dollar per quart?

5. If one bag holds 6 sevenths of a bushel of corn, how much corn will 3 bags hold?

6. How many sixths of a dollar must be paid for 9 yards of muslin at 2 sixths of a dollar per yard? 7. Silas had 1 dollar, and he bought 4 books at 2 twelfths of a dollar each. How many twelfths of a dollar did he pay for the books, and how many

did he have left?

8. Herman has 1 dollar. How many eighths of a dollar will he have left, if he buys 2 books at 3 eighths of a dollar each?

LESSON XXXI.

A. 1. 12 fourths of an orange equal how many oranges?

SOLUTION. Since 4 fourths of an orange equal one orange, 12 fourths of an orange must equal as many oranges as there are times 4 in 12, which are 3 times. Hence 12 fourths of an orange equal 3 oranges.

2. 10 halves of an apple equal how many apples?
3. 15 thirds of a melon equal how many melons?
4. 20 fifths of a pear equal how many pears?
5. 18 thirds of an acre equal how many acres?

B. 1. 15 fifths equal how many ones?

SOLUTION. Since 5 fifths equal one, 15 fifths must equal as many ones as there are times 5 in 15, which are 3 times. Hence 15 fifths equal 3 ones or 3

SOLUTION. Since 4 fourths equal one, 14 fourths must equal as many ones as there are times 4 in 14, which are 3 times with 2 remainder. Hence 14 fourths equal 3 ones and 2 fourths, or 3 and 2 fourths.

D. 1. 3 fifths + 8 fifths + 9 fifths =* ones?

2. 6 sevenths + 5 sevenths + 4 sevenths
3. 8 tenths+ 7 tenths + 5 tenths

=

9 fourths 7 fourths

4. 18 fourths

5. 9 times 2 sixths

* ones?

* ones?

=* ones?

E. 1. How many sixths of a dollar will 9 yards of cloth cost, at 2 sixths of a dollar per yard? How many dollars?

2. How many fourths of a yard of cloth will it take to make 6 vests, if it takes 3 fourths of a yard to make one vest? How many yards?

3. If John can earn 5 sixths of a dollar in one day, how many sixths of a dollar can he earn in 3 days? How many dollars?

4. If one basket holds 7 eighths of a peck, how many eighths of a peck will 2 baskets hold? How many pecks?

5. If George can hoe 3 fifths of a row of corn in 1 hour, how many fifths of a row can he hoe in 5 hours? How many rows?

6. It took me 8 ninths of an hour to learn my arithmetic lesson, 7 ninths of an hour to learn my geography, and 5 ninths of an hour to learn my grammar. How many ninths of an hour did it take me to learn them all? How many hours?

7. I bought 7 twelfths of an acre of land of one man, 4 twelfths of an acre of another, and 6 twelfths of an acre of another. How many twelfths of an acre did I buy in all? How many acres?

LESSON XXXII.

A. 1. If 12 apples should be divided into two equal parts, how many apples would there be in each part? What then is one half of 12 apples?

2. If 8 marbles should be divided into 4 equal parts, how many marbles would there be in each part? What then is one fourth of 8 marbles?

3. What number must be taken 2 times to equal 6? What then is one half of 6?

4. What number must be taken 4 times to equal 20? What then is one fourth of 20?

B. 1. What is one third of 18?

Ans. One third of 18 is 6, because 3 times 6 equal 18.

2. What is one fifth of 10?

3. What is one fifth of 20?

4. What is one half of 14?

5. What is one third of 9?
6. What is one fourth of 12?
7. What is one sixth of 18?
8. What is one fourth of 16?
9. What is one ninth of 18?
10. What is one seventh of 14?

11. What is one tenth of 20?

C. 1. If 5 apples cost 10 cents, how many cents will 1 apple cost?

SOLUTION. If 5 apples cost 10 cents, 1 apple will cost one fifth of 10 cents, which is 2 cents.

2. If 3 pencils cost 9 cents, what will 1 pencil cost?