6. COMPOUND FRACTIONS. A compound fraction is a fraction of a fraction; as, ¦ of }; of. 1. What is of ? ANALYSIS. Since equals, ofis of, or f. 6. Susan had a dollar and gave did she give away? 7. If I had of a dollar and spent of it, how much did 10. A man earned of a dollar and his son as much; how much did the son earn? 11. How much is of? ANALYSIS.— of is; ofis 2 times as much, or ; and of 20. A boy had did he spend? of a dollar and spent of it; how much 21. If a boy has of a pie and gives away of it, how much does he give away? 22. If Amos has of a dollar and spends of it, how much does he spend? 23. If I give away of of my money, how much do I give away? 10 24. A boy had 40 cents: he spent of of it; how much did he spend? 25. A horse cost 120 dollars, and a cow cost of as much; how much did the cow cost? 26. A gentleman who owned of a farm sold of his share; how much of the farm did he sell? 27. George had of a bushel of chestnuts: he shared them equally among 6 of his playmates; what part of a bushel did each get? 28. William had of a dollar, and shared it with 3 brothers; what part of a dollar did each get? ADDITION OF FRACTIONS. 1. What is the sum of of a pie and of a pie? of a dollar and 2 of a dollar? of a dollar and of a dollar? of an orange and 3 of an orange? 5. How much is of a peck, g of a peck, and § of a peck? of 40. What is the sum of 23 and 14? SOLUTION 1.-23 equals ; 1 equals; equals, and equals 1; plus equals 11, or 311. SOLUTION 2.-2 plus 1 are 3; 8 equals, and equals 12; 12 plus are; hence 23 plus 14 equals 3}}. NOTE. In solution 2 the whole numbers and the fractions are added of a dollar for a 51. I paid of a dollar for a hen and duck; how much did I pay for both? 52. If a book cost of a dollar and a slate of a dollar, how much do both cost? 53. If I pay of a dollar for a dinner and of a dollar for car-fare, how much do I pay for both? 54. George gave candy; how much of 55. If a book cost and some pencils 56. Henry, having much had he then? of of his money for oranges and for his money did he spend? of a dollar, some paper of a dollar, a dollar, how much do all cost? of a dollar, earned of a dollar; how 57. If of a number increased by of the same number equals 36, what is the number? 58. My money increased by of my money is 64 cents; how much money have I? 59. of John's marbles increased by of his marbles equals 39; how many marbles has he? 60. Mary's number of pinks increased by of her number equals 45; how many pinks has she? 61. Albert, having of a certain sum of money, found of the same sum, and then had 81 cents; what was the sum? 62. of a certain number increased by of the number is 74; what is the number? 63. George paid of a dollar for a slate, 3 of a dollar for a book, and of a dollar for paper; how much did he pay for all? 64. If a man pays $31 for a pair of shoes and $1 for a pair of gloves, how much does he pay for both? 65. If a man walk 31 miles the first hour and 3 miles the second, how far does he walk in the two hours? 66. Bought a hat for $33, a pair of shoes for $51⁄2, and an umbrella for $23; how much did I pay for all? I 67. Bought coal for $53 and wood for $31; how much did. pay for both? 68. I paid of a dollar for ribbon, å of a dollar for muslin, and $2 for gloves; how much did I pay for all? 69. A boy walked 12 miles in the forenoon and 151 miles in the afternoon; how far did he walk during the day? 70. James has $51, George has $63, and Henry $33; how much money have they together? SUBTRACTION OF FRACTIONS. 1. What is the difference between of a dollar and of a dollar? 2. What is the difference between of an apple and of an apple? 3. What is the difference between of an acre and of an acre? 4. What is the difference between of a cent and a cent? 12 7 10 3 of 1 5. What is the difference between of a dozen and of a dozen? SOLUTION.-equals, and equals ; less is; hence 29. What is the difference between 2 and 13? SOLUTION.-2 equals ; 1 equals; equals, and equals }; 1-11 equals 11; hence the difference between 2 and 1 is 1. |