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12. What is one of these four equal parts called? One-fourth.

13. What are two of the parts called? What are three of the parts called?

14. How many fourths are there in the whole orange?

One or more of the equal parts of any thing is called a Fraction.

Two numbers written one above the other, with a line between them, are used to express a fraction. The number below the line shows the number of equal parts into which the thing is divided.

It is called the Denominator.

The number above the line shows how many parts form the fraction.

It is called the Numerator.

One-half is therefore expressed thus: .
One-third is therefore expressed thus:
One-fourth is therefore expressed thus: 1.
Two-fourths is therefore expressed thus: 4.
Three-fourths is therefore expressed thus: .

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1. Draw a line and divide it into 5 equal parts.

2. What is one of these parts called? One-fifth. 3. What are two of the parts called? What are four of the parts called?

4. How many fifths make the whole line?

5. Draw a line and divide it into 6 equal parts. 6. What is one of these parts called? One-sixth. 7. What are three of the parts called? What are five of the parts called?

8. How many sixths make the whole line?

9. If a pie is divided into seven equal pieces, what part of the pie is one piece? Three pieces? Four pieces? How many sevenths make the whole pie?

10. If a pound of candy is equally divided among eight boys, what part of the pound will one boy receive?

11. How many eighths of it will four boys receive? Three boys? Six boys

12. A miller divided a barrel of flour equally among nine poor families. What part of the barrel of flour did he give to each family?

13. How many parts did he give to five families? To eight families?

14. If a dollar is divided into ten equal parts, what is one of the parts called? What are four of the parts called? What are ten of the parts called?

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1. Mary had 1 half of a dollar, and her mother gave her 1 half of a dollar more.

had she then?

How much money

2. How many thirds are 1 third and 2 thirds? 3. If John gave of an orange to his sister, and to his cousin, how many fourths did he give both?

4. Henry earned of a dollar in one day, and of a dollar the next day. How much money did he earn in both days? How many fifths are and ?

5. Jane bought of a yard of ribbon, and Caroline bought of a yard? How many sixths did both buy? How many sixths are †, ‡ and †?

6. A farmer sold 4 of a bin of wheat to one man, and to another. How many sevenths did he sell? 7. How many eighths are , and }?

8. William bought 24 yards of cloth for a pair of pantaloons, of a yard for a vest, and 44 yards for How many yards of cloth did he buy?

a coat.

9. A man plowed 1

acres the next day. How

acres one day, and 1

many acres did he plow?

10. A laborer bought of a ton of coal at one time, of a ton at another, and of a ton at another. How much coal did he buy?

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her

LESSON LVIII.

1. Lucy had of a dollar, and her brother gave

of a dollar more.

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4. How many fourths of a dollar are equal to one-half of a dollar? How many fourths are there in ?

5. How many fourths of a dollar are there in

and of a dollar? How many fourths in and ?

6. Draw two lines of

the same length.

7. Divide the first line into 2 equal parts.

8. Divide the second line into 6 equal parts. 9. What is one part of the first line called? 10. What is one part of the second line called? 11. What are three parts of the second line called? 12. How do three parts of the second line compare in length with one part of the first line?

13. How many sixths of a line are equal to onehalf of a line?

and? How

14. How many sixths are there in many sixths are there in and ? In 1⁄2 and §? 15. How many eighths are equal to one-fourth? How many eighths are there in and ?

16. Mary bought 23 yards of lace one day, and 21 yards the next day. How many yards did she buy? 17. John bought 24 pounds of raisins, and Joseph bought 3 pounds. How many pounds did they buy? 18. How many ninths are and ? and ? 19. How many eighths are and ?

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