14. Mary bought a reader for of a dollar, a slate for 1% of a dollar, and a grammar for 1 of a dollar. How much did they all cost ? 15. A clerk spent $181 a month for board, $94 for a room, and $47 for clothes. How much did he spend in one month ? 16. I sold 1 of an acre of land to one man, 24 acres to another, and 16 acres to another. How many acres did I sell ? 17. Find the perimeter of a sheet of paper 94 in. by 5} in. 7. Give answers to the following: 11 - ; 11-18 ; *1-* ; 18-%; 3-2 8. What do you notice about the denominators of the fractions you have subtracted in example 7 ? In subtraction of fractions, just as in subtraction of whole numbers, the minuend must be larger than the subtrahend. 9. When the denominators are alike, what do we subtract? 10. Could you subtract from 1 without change? How may these fractions be made similar ? 11. When the denominators are unlike, what is the first step? What is the second step? What is the third step? Subtract: 12. $1 - $1; } ft. - * ft. ; } yd. – yd.; 11 ft. - } ft. 13. 1% -3; li- ; 11 - j; 4-1; 3} - $; }-1. Subtracting similar mixed numbers. Written Work 1. From 31 take 13. Since cannot be subtracted from }, 3} = 24 we take 1 or } from 3, and add it to }, thus changing 33 to 24. Then from 1}= 1 leaves and 1 from 2 leaves 1. Hence 3} -13 = 1 the answer is 15. Find the differences : 7. 351 - 54 71 28 12. If a boy buys papers at of a cent each, and sells them at 1 cent each, how much does he gain on each paper ? 13. I bought a bushel of potatoes for 8 of a dollar, and a bushel of corn for B of a dollar. How much more did I pay for the potatoes than for the corn? 14. William bought a hat for $23, and a pair of shoes for $27. How much more did he pay for the hat than for the shoes? 15. A dealer sold eggs for $1017 which cost him $92%. How much did he gain? 16. One farmer owns 12416 acres of land, and another owns 111, acres. How many more acres does the one farmer own than the other ? 16 Subtracting fractions or mixed numbers that are not similar. Written Work 1. From taket. Before they can be subtracted the fractions 20 = c.d. must be made similar. Change them both to 1-} twentieths. 4= and } = %. Subtracting, -24= Fractions must be made similar before they can be subtracted. Subtract, using a pencil ; then orally: 2. 1-} 9. } } 3. 1-1 10.5-1 4. 1-1 11. 15. 1-5 12. 6. } 13. 1-} 7. - 112 14. ;-) 8. :-) 15. 1 16. 1-12 9 6 7=63 22 - 11 7-} 28 – 11 55 – 13 23. From a piece of cloth containing of a yard, 4 of a yard was sold. What part of a yard remained ? 24. From a city lot containing of an acre, le of an acre was sold. What part of an acre remained ? 25. A man traveled I of a mile the first hour, and of a mile the second hour. How much farther did he travel the first hour than the second ? 26. From 7 take . Change 7 into 64. Subtracting / from gives }, which added to 6 gives 6}. 7 - j = 6} Subtract, using a pencil; then orally: 27. 34. 41. 133 - 8 28. 1235. 42. 44 29. 36. 43. 30. 9 37. 44. 31. 3 – 4 38. 4 45. 7 - i 32. 100 39. 125 – 18 46. 33. 40. 10 – 48. Albert had $2 and spent $for skates. How much money had he remaining ? 49. A vessel contained 8 gallons of oil. After of a gallon had leaked out, how much remained ? 50. A grocer who had bought 10 bushels of potatoes, sold of a bushel. How many bushels remained ? 51. From 12% take 103. 4= c. d. Change to fourth s. 1=4. 124 = 123 from * = }, which added to 12 less 10, or 2, gives 21. 18 – } 1140 – } 51-18 48 - } 18 - 14 47. 21 53. 4 54. 64. 55. 56. 57. 58. 68. Find differences: 62. 808 141 63. 98% 32} 105 3} 4538 - 303 107 23 65. 25% 121 127 53 66. 1003 524 24% -11% 67. 783 353 3112 - 18% 504 401 59. 7913 – 263 69. 124 6 - 112} 60. 9717 – 354 70.24019 - 2003 61. 1214 – 663 71. 15} 81 72. From a lot containing 174 acres, 53 acres were sold. How many acres remained ? 73. If I paid $40 for a barrel of flour, and $24 for a barrel of potatoes, how much more per barrel did the flour cost than the potatoes? 74. A man bought two suits of clothes, one costing $354, and the other $28]. How much more did the one suit cost than the other? 75. If a barrel of sugar costs $17% and a barrel of pork $81, how much more does the barrel of sugar cost than the barrel of pork? REVIEW 1. A newsboy earned $f one day, $% another day, and $1 a third day. How much did he earn in the 3 days? 2. A stick was broken into two pieces - one 34 ft. long and the other 14 ft. long. How long was the whole stick ? 3. If a man earns $3; a day, and a boy $1 a day, how much more does the man earn in a day than the boy ? |