Adding mixed numbers. 1. Add 121, 67, and 107. 40=1.c.d. The l. c. m. of 4, 5, and 8 is 40, which is the least 123 = 1248 common denominator of the given fractions. = 8; 68 = 647 =; =16. The sum of the fractions is !, which 10= 1045 added to the sum of the whole numbers 30% 128 +63 + 10% = 2848= 30%. Add: 2. 16 ++27 7. 45+ 1} +1 3. 10% +12} +527 8. 3; +44 +172 4. 212+54 +91 9. 43 +5%+918 5. 18 + 74 +87 10. 12; + + } + 3% 6. 98 +167 + 51% 11. 2 + 14 +31 12. Mr. Seward traveled 192 miles on Monday, 214 miles on Tuesday, and 22 miles on Wednesday. How far did he travel in the three days ? 13. John deposited $67 in a savings bank, James $770, Henry $ 94, and Joseph $ 117. How much did they all deposit ? 14. A dry-goods merchant sold a customer 164 yards of silk, 243 yards of flannel, and 221 yards of muslin. How many yards of goods did he sell ? 15. A merchant bought a barrel of flour for $3$, a barrel of pork for $110, and a barrel of sugar for $154. What was the amount of his bill ? 16. Four boys weigh, respectively, 901 pounds, 954 pounds, 987 pounds, and 101 pounds. What is their entire weight? 17. The distance from A to B is 134 miles; from B to C 20% miles; from C to D 31 miles. What is the distance from A to D ? SUBTRACTION OF FRACTIONS 1. How do we add like fractions ? 2. What change must be made in unlike fractions before they can be added ? Since in adding like fractions we find the sum of the numerators, in subtracting like fractions we take the difference of the numerators ; thus, $ + f = f, sum; Ķ-f= }, difference. 276 9. ++ 15. 32 +95 - 74 10. 1811 - 103 +54 +25 16. 22*1 + 71 - 2018 11. 15 – 3; +41 17. 8f +227 + 433 12. 40+ 60 + 3013 18. 2258 + 132 12 + 8027 13. 1932 – 118 + 116 19. 123 +19-27 14.73 +41 +11,1 20. 191 + 113 + 143 21. A merchant bought a bale of linen for $68, and paid $1for transportation. The linen being damaged, he sold it for $494. How much did he lose? 22. Arthur bought a hat and gave in payment a ten-dollar bill. If he received in change $74, how much did the hat cost ? 23. A contractor agreed to build a house for $1500, but failed to get his pay by $100. He paid out of the contract price for work, and for material. How much did he make? 24. From 160 acres of land, lots of 181 acres, 204 acres, 313 acres, 42; acres, and 25% acres were sold. How many acres remained unsold ? 25. The treasurer of a literary society received $4923. He spent for light and heat $504, for new books $774, for a lecturer's expenses $26], and for music for an entertainment $80. How much remained in his hands? 26. From the sum of 81 and 74 take 96. 27. Two boys earn $15in a week. If one earns $73, how much does the other earn ? 28. From a bin of sugar containing 4274 pounds, 281 pounds were sold at one time, 31 pounds at another, and 50 pounds at another. How many pounds remained to be sold ? 29. A cab driver drove 304 miles on a certain day. From his start to his stable it was 17 miles and he made that trip twice. What was the number of miles for which he was paid ? 30. A tub of butter weighed 807 pounds; the box alone weighed 45 pounds. How much did the butter weigh? 31. Five floors of an office building are each 12 feet high, two floors are each 134 feet high, and one floor is 18 feet high. What is the total height of the floors ? 32. In one piece of serge there are 253 yards, in a second piece 181 yards, in a third piece 221% yards, in a fourth piece 271 yards. How many yards are there in the four pieces ? 33. The widths of 4 lots are as follows: 302 feet, 4280 feet, 3817 feet, and 4872 feet. Find the entire width of the lots ? 34. From a web of muslin containing 45,16 yards, were sold 287 yards. How many yards remained unsold ? 35. A grain dealer buys two loads of corn, one containing 64 bushels, the other 501 bushels. To one man he sells 20 bushels of this corn, to another 134 bushels, to another 74 bushels. How many bushels has he left after these sales? 36. A traveler went 162 miles the first day, 174 miles the second day, and 187 miles the third day. How far did he travel in the three days ? 37. A ball team spent $21 for balls, $40 for uniforms, $34 for bats, and $184 for gloves and mitts. How much did the team's outfit cost? 38. Change to lowest terms it. 39. A teacher's salary was $95 per month. He spent $20 for board, $71 for room, $9] for clothes, and $2+ for other expenses. How much did he save out of his month's salary? 40. A dealer bought 614 bushels of apples from one man ; 1271 bushels from another; 894 bushels from another. How much did they cost at $.75 per bushel ? 41. A student spends of the day in study, in recitations, i at his meals, and in recreation and exercise. What part of the day has he left for sleep? 42. A boy walked around a field 601 rods long and 40 rods wide. How far did he walk? 43. The income from an apartment house for a month is as follows : 2 suites of rooms each $ 281, 2 suites each $32, and 2 suites each $34.50. What is the total income and what is the average per suite ? 44. William had $45; he gave his sister $374. How much had he remaining ? 45. Mr. Mellon owned of an oil well. Later he bought Te of it. What part of the well did he not own? 46. A clerk earns $40 a month and spends for board $131, for clothes $ 73, and for other expenses $144. How much of his month's salary does he save ? 47. From a piece of ribbon containing 12 yards were sold 1 yard, 11 yards, 4 yard, š yard, 24 yards, and 3 yards. How many yards remained unsold ? 48. A mail carrier works 8 hours per day. In making 3 deliveries he works 11 hours, 24 hours, and 24 hours. How much time has he for a fourth delivery ? 49. of a pole is in the ground, şof it in the water, and the rest in the air. What part of the pole is in the air ? |