LESSON LXVII. 1. WHEN a pie is cut or divided into 7 equal parts, what is one of those parts called? 2. What are two of the parts called? Ans. Two sevenths of the pie. 3. What are five of the parts called? 4. How many sevenths of a thing make the whole thing? Ans. Seven. 5. When a thing is divided into 8 equal parts, what is one of the parts called? 6. What are three of the parts called? 7. How many eighths make a whole one? 8. What is meant by one ninth of a thing? Ans. One of the 9 equal parts into which that thing is divided. 9. What is meant by 7 ninths of a thing? Ans. Seven of the 9 equal parts into which the thing is divided. 10. How many ninths make a whole one? 11. What is meant by one tenth of a thing? 12. How many tenths make a whole one? 13. Mary had 3 tenths of a dollar, and found another tenth; how many tenths of a dollar had she then? 14. 3 tenths and 1 tenth are how many tenths? 15. John planted 2 sevenths of an acre with beans, and 3 sevenths with corn; what part of an acre did he plant with both? 16. Edwin worked 1 fourth of the day in the garden, and 2 fourths in the field; what part of the day did he work in both? How much longer did he work in the field than in the garden? 17. Ezra bought an Algebra for 3 fourths of a dollar and sold it for 2 fourths; did he gain or lose by his bargains? How much? 18. Willie gave 2 eighths of an orange to his sister, and 5 eighths to his brother; what part of the orange did he give away? How much more to his brother than to his sister? What part of the orange did he keep for himself? 19. Two eighths and 5 eighths are how many eighths? 20. Five eighths less 2 eighths are how many eighths? 21. Mr. Hall spent 4 tenths of his life in Boston, and 3 tenths in New York; what part of his life did he spend in the two cities? 22. Mr. Jones spent 1 fifth of his money in one year, and 3 fifths the next year; what part of his money did he spend in 2 years? What part had he then remaining? 23. 1 fifth and 3 fifths are how many fifths? 24. How many fifths remain if 4 fifths are taken from 5 fifths? 25. Mr. Abbott spent 2 sixths of a day in Miss Choate's school, 1 sixth in Miss Fay's, and the remainder of the day in his own; what part of the day was he in his own school? 26. 2 sixths and 1 sixth taken from 6 sixths leave how many sixths? 27. If a box of strawberries cost 3 tenths of a dollar, a pineapple 2 tenths, and a melon 4 tenths, what part of a dollar did they all cost? LESSON LXVIII. WHEN anything is divided into any number of equal parts, what are the parts called? Ans. Each part is called a fraction of the thing that is divided into parts. We use two numbers to write a fraction; thus, we write one half in this way: ; one third in this way: ; two thirds in this way: ; one fourth in this way: ; three fourths in this way: . In each fraction there are two numbers, one over the other, with a line between them. The number below the line tells how many equal parts the thing is divided into, and the number above the line tells how many of the parts we are talking about. 1. Into how many equal parts is the loaf of cake near Ella divided? Ans. 5. 2. What is the fraction that stands for one of these 5 parts? Ans. f. 3. What fraction stands for 2 of the parts? Ans. . For 3 parts? . For 4 parts? §. 4. If a thing is divided into 6 equal parts, what fraction stands for, or represents, 1 of the parts? Ans. . 5. What fraction represents 2 of the parts? 3. 3 parts? . 4 parts? 5 parts? ૐ. 6. The apple on the middle of the table was first cut into two halves, and then each half was cut into two equal parts; what is one of these small parts? Ans. It is of an apple. 7. Then is the same as how many fourths? Ans.is the same as 4. 8. The cake at the right side of the table was first cut into three equal parts, or thirds, where you see the large dark lines. Then each of these thirds was cut into two equal parts; so we see that the whole cake is cut into 6 parts, and each part is of the cake. We also see that of the cake is the same as 9. Is of a pear the same as Ans. It is; same thing. of anything is equal of the cake. to of a pear? of the LESSON LXIX. 1. IN one apple there are 2 halves; how many halves are there in 3 apples? Why 6? Ans. Since there are 2 halves in 1 apple, there are 3 times 2 halves, which are 6 halves, in 3 apples. 2. What fraction represents 6 halves? Ans. §. 3. How many fourths of a dollar in 2 dollars? Why? 4. How many fourths of an apple in 3 apples? In 4 apples? In 5 apples? In 6 apples? Why? 5. If of a barrel of flour costs 5 dollars, how many dollars do 2 halves, or a whole barrel, cost? Why? Ans. Since of a barrel costs 5 dollars, 2 halves cost twice 5 dollars. 6. If of a yard of cloth is worth 2 dollars, what is a whole yard worth? Why? 7. Two is of what number? Why 6? Ans. Since 2 is one third of the number, three thirds, or the whole of the number, will be 3 times 2. 8. Mr. Phillips had 12 sheep in a pasture, but a large dog drove of them out; how many sheep did he drive out? How many thirds of the flock re mained in the pas ture? How many sheep? How many thirds are less? 9. Four is of what number? Why? 10. Eight is of what number? Why? Ans. d3 Since 8 is, of 8, which is 4, is ; and since 4 is,, or the whole, will be 3 times 4, which are 12. 11. If of a melon costs 5 cents, what will a whole melon cost? Why? 12. 5 is of what number? Why? |