ADDITION AND SUBTRACTION OF FRACTIONS Lesson 26 1. What is the sum of and ? and ? and ? and ? and ? 2. What is the sum of and ? and ? and ? and ? and ? 3. A man whose lot contained 1⁄2 A. bought an adjoining piece that contained A. How much did he then have? 4. A can do of a piece of work in an hour, and B & of it. How much can they do in one hour working together? 5. Find the difference between 1 and ; and ; and ; and ; and ; and 12; 1 and 1. 6. Bought bbl. of flour. after using bbl.? How much was left 7. What is the difference between of my age and of it? If this is 2 yr., how old am I? If 6 mo., how old am I? 10. If of the cost of a hat was 204, what did the hat cost? 11. If of the value of a house is $1200, what is of its value? What is of its value? the house worth? What is 12. If of the size of a farm is 75 A., what is of its size? How many acres in the farm? 13. If of a boy's weight is 45 lb., how much does he weigh? What is your divisor here? Your multiplier? With the fractions 8, 4,1%,, respectively, what would your divisors and multipliers be? 5 3 9 10" 14. The sum of and of a boy's weight is what part of it? If this is 60 lb., how much does the boy weigh? 15. A man invested and of it in real estate. of his money in business What part of his money did he invest in both? If this was $14,000, how much money had he? 16. 1-3=? 1-2=? 1-=? 1-5=? 2-5=? 1-5=? 2-3=? 3-1=? 16 17. A tailor cut off of a piece of cloth to make a suit of clothes. If 6 yd. are left in the piece, how many did it contain at first? 18. A cistern was rain filled up more. full of water, and during a The water was then 2 ft. from the top. How deep is the cistern? 19. The trunk of a tree was cut into three parts. The first contained of the length, the second †, and the third part was 20 ft. long. How long was the trunk? 20. A merchant sold cloth at 45¢ a yd., gaining of the cost. The selling price was what fraction of the cost? What was the cost per yard? In examples 21-27 give the statements of balance. 21. A merchant sold apples at 60 a bushel, gaining of the cost. Find the cost. 22. A boy lost of his marbles and has 30 left. How many had he at first? 23. A man divides his lot into two parts, one of which, containing of the entire lot, he keeps for himself. The other part, which has a frontage of 100 ft., he sells. What is the frontage of the entire lot? 24. Twɔ boys ran a race, and when the winner had reached the goal, the second boy, who was 10 yd. behind, had run of the whole distance. How long was the course? 25. Three boys ran a race, and when the winner reached the goal the second boy had run & of the whole distance, and the third boy, who was 2 yd. behind him, had run of the whole distance. How long was the course? 26. The torrid zone extends 231° on each side of the equator. How many degrees wide is it? 27. How many degrees from the north pole to the equator? The frigid zone extends 231° from the north pole, and the torrid zone 231° north from the equator? Find the number of degrees in the north temperate zone. Lesson 27 1. What is the sum of 3 and 2? Of and ? Of 31 and 21? 2. Find the sum of the following: How do you add two fractions? 3. Find the difference between the following: |