179. Two kinds of division. As shown on page 20, there 181. Concrete divisor. To consider the second kind, divide 22 ft. 9 in. by 3 ft. 3 in. In such cases reduce dividend and divisor to the same denomi nation, thus: 22 ft. 9 in. = 273 in. 3 ft. 3 in. = = 39 in. 7 39 in.)273 in. 273 12. 10 sq. yd. 6 sq. ft. ÷ 3 sq. yd. 5 sq. ft. 13. 24 yr. 11 mo. 6 da. ÷ 2 yr. 3 mo. 6 da. 14. 2 da. 7 hr. 9 min. 18 sec. 3 hr. 27 min. 42 sec. Multiply in Exs. 15-20: 15. 15 hr. 27 min. by 6. 17. 621 mi. 20 ft. by 97. 19. 32 min. 48 sec. by 12. 16. 18 bu. 3 pk. by 8. 18. 9 T. 1650 lb. by 4. 20. 404 mi. 70 ft. by 73. 21. If the average weight of the members of your class is 57 lb. 4 oz., what is the total weight of the class? 22. If the average length of your steps is 2 ft. 2 in., how far will you go in 425 steps? 23. If a wheel is 9 ft. 2 in. in circumference, how far will it travel in making 125 revolutions? 24. If one side of a square is 8 ft. 9 in., how far is it around the square? 25. If it is 18 ft. 8 in. around a square, how long is each side? 26. It is 54 ft. around a certain figure each of whose sides is 6 ft. 9 in. How many sides has the figure? 27. If a wheel is 8 ft. 93 in. in circumference, how many 182. Areas. What is the area of a flower bed 8 ft. wide and 1 rd. long? If it were 16 ft. long and 1 ft. wide, the area would be 16 sq. ft. Since it is 8 ft. wide, the area is 8 times 16 sq. ft., or 132 sq. ft. WRITTEN EXERCISE 1. At the rate of a mile in 4 min., how far will an automobile go in 3 hr.? 2. How far will a horse go in the same time, traveling at the rate of a mile in 9 min.? How far will a train go in the same time, at the rate of 45 mi. an hour? 3. If the large wheels of an automobile are 723 ft. in circumference, how many times will each one turn in going 25 mi.? 4. At $65 an acre, what is a rectangular farm worth that is 150 rd. wide and 160 rd. long? 5. At 21 ct. a foot, how much would it cost to inclose the farm of Ex. 4 by a wire fence? 6. If the man wishes to enrich the soil of a 75-acre meadow, how many tons of fertilizer would he use at 75 lb. to the acre? 7. If a farmer has cut 35 cords of 4-ft. wood from his property and piled it 4 ft. high, how long is the pile? 8. If a lot 8 rd. by 40 rd. is planted to corn, and produces 27 bu. to the acre, how many bushels does the owner get in all? ft. 9. A farmer has a barn 60 ft. long, 30 ft. wide, and 15 ft. high to the eaves. The triangular gables on the ends, above the line of the eaves, have each an area of 150 sq. How much will it cost to paint the barn at 20 ct. a square II. DECIMAL FRACTIONS AND PERCENTAGE ADDITION AND SUBTRACTION OF DECIMALS SOME OF OUR GREAT RAILWAYS WRITTEN EXERCISE 1. The lengths of the various divisions of the Atchison, Topeka, and Santa Fé road were recently as follows: 1177.81 mi., 487.37 mi., 887.99 mi., 372.48 mi., 129 mi., 60 mi., and 4818.08 mi. What was the total length? 2. On the Baltimore and Ohio the divisions were: 5.3 mi., 129.42 mi., 949.98 mi., 403.08 mi., 323 mi., 790.19 mi. What was the total length? 3. On the Boston and Maine the divisions were: 115.31 mi., 108.29 mi., 73.37 mi., 148.34 mi., 222.32 mi., 69.5 mi., 1424 mi., 98.77 mi., 74 mi., 250.98 mi., 53.85 mi., 907.71 mi. What was the total length? 4. How much longer was the Chicago and Northwestern, when it had 8791.29 mi., than the Canadian Pacific with 8356.1 mi.? 5. How much longer was the Burlington Route, when it had 8219.87 mi., than the Denver and Rio Grande with 1708.19 mi.? than the Chicago, Milwaukee, and St. Paul with 6582.58 mi.? 6. How much shorter was the Great Northern, when it had 5240.47 mi., than the combined lengths of the Erie, 2170 mi., and the Illinois Central, 4265.5 mi.? 7. How much longer was the Pennsylvania railroad, when it had 9970 mi., than the Southern Pacific, 8206.75 mi.? than the New York Central, 3313.81 mi.? than the |