139. Reduce to a decimal. SOLUTION. — = 3÷8. Performing the division, 8)3.000 the result is .375. Reduce to decimals: 159. 160. .375 161. 162. 2 1 5 3 5 153.,,,, 4, 4, 3, 20, 5, 4, 4, 1, §, 1, 1, 1 6 7, 1 154. t, f, t, t, §, 4, 5, 8, 11, 4, 12, 4, 16, 1, 25, b 1 5 69 3, 7, 155. Reduce .145 to a common fraction. SOLUTION. 29 .145 = 14% 200. 3. A 49.625 in all? 4. A and $3. 5. A acre. luce to common fractions: i P. 1. How many acres of land are there in 4 farms ning, respectively, 40.3 acres, 120.75 acres, 142.62 and 60.375 acres? How many yards of cloth are there in 3 pieces, st containing 21 yards, the second, 36 yards, and ird, 40.15 yards? A man owns 4 lots containing 321, 36, 405, and rods, respectively. How many rods does he own A man paid bills as follows: $3.97, $4.56, $2.39, A man owned .54 of an acre of land and sold an ROB. INTEL. AR. - 10 6. A bicyclist traveled on his wheel 25.25 miles the rst day, and 10.75 miles the second day. How much arther did he travel the first day than the second? 7. A boy who earned $7.75 a week spent $2.30 of every week. How much did he save in 6 weeks? 8. A man having $1000 in bank drew out $450.62. How much remained in bank? 9. If a cord of wood is worth 2.37 bushels of wheat, ow many bushels of wheat must be given for 1.2 cords f wood? 10. A lady bought 1.1 yards of silk at $3.75 a yard, nd 2.2 yards of cloth at $.75 a yard. How much more id the silk cost than the cloth? 11. At $237.25 an acre, how much will 1.2 acres of and cost? 12. At $5.87 a ream, how much will 7 reams of aper cost? 13. At $.40 a dozen, how much will 60 buttons cost? 14. If a man travels 12.2 miles a day, how long will ; take him to travel 244 miles? 15. If a man builds 812.50 rods of fence in 100 days, ow many rods does he build each day? 16. If 3 yards of ribbon cost $.371⁄2, how much will 1 ard cost? 17. I paid $.87 for 7 yards of calico. What was the ost per yard? 18. If 8 dozen glasses cost $37, what is the price per ozen? The price of each glass? 19. How many yards of gingham can be bought for 16 at $.25 a yard? at $.663? at $.331? at .37? 20. At $56 an acre, how much will 1.25 acres of land ost? 21. Mr. A earns $25.50 every week and his expenses verage $ 2.50 a day. How much does he save in a week? 22. If a how many of wood? 23. A for $1834 24. A and sold on a barr 26. A 28. A tow sh pour 15 bus cost of 30. many 31. per g 32. can 33 bush If a cord of wood is worth 2.84 bushels of wheat, bushels of wheat must be given for 2.5 cords any od? A man bought a farm for $1575.24, and sold it 1834.16; how much did he gain? A merchant bought flour for $5.621 a barrel, ld it for $6.87 a barrel; how much did he ga arrel? A man, having $14725, paid $3560 f. a store, 7015.87 for goods; how much mory had he left? A man paid for building a home $2175.75, for ng the same $240.37, for funiture $ 605.40, for s $140.121; what was the cost of the house and hing? I bought a hat for $3.621, a pair of shoes for an umbrella for $13, a pair of gloves for $.621, cane for $.87; what was the cost of all my ases A man owned thirty-four hundredths of a townof land, and sold thirty-four thousandths of the how much did he still own? hip; A grocer bought 50 pounds of cheese at $.15 nd, 400 pounds of coffee at $.12 a pound, and shels of potatoes at $.331 a bushel; what was the of all? Traveling at the rate of 43 miles an hour, how - hours will a man require to travel 46.46 miles ? If 33 gallons of oil cost $36.30, what is the cost allon? If 1 pound of tea costs $.54, how many pounds. be bought for $ 432 ? . A farmer sells 120 bushels of wheat at $1.121 a el, for which he receives 27 barrels of flour; how the flour cost him a barrel? 9. V Thus in 6: 2, the value of the ratio is 6 ÷ 2, or 3. 106. The Value of a Ratio is the quotient of antecedent divided by the consequent. 1. A Ratio is the relation between two numbers expressed the quotient of the first divided by the second. Thus the ratio of to 3 is 6 ÷ 3 = 2. 104. The Sign of Ratio is a colon. Thus the ratio of 6 to 3 is written 6:3. 105. The Terms of a Ratio correspond to a dividend and divisor. The former is called the Antecedent, and the latter the Consequent. Thus, in 6:2, 6 is the antecedent, and 2 the consequent. 10. V SOLUTI same as th } = {. 11. V 12. T 13. V 14. 15. 16. 17. 18. 19. Thus 3:6 as 6: 12, or 3: 66: 12 is a proportion. 107. A Proportion is an equality of ratios. quarts 24. 25. Thus 3:6 as 6: 12 is written 3:6:: 6:12. 108. The Sign of Proportion is ::, a double colon. 26. 27. 28. 29. 109. 1. What part of 4 is 1? of 4 is 3? SOLUTION. - Since 1 is 1 of 4. 3 must be 3 x 1 of 4 or 3 of 4 |