13. Reduce 6to an improper fraction. 14. Reduce 87% to an improper fraction. 15. Reduce 94 to an improper fraction. B. 1. are how many times I ? 2. are how many times 1 ? 3. 1 are how many times 1 ? 4. are how many times 1 ? 5. } are how many times 1 ? 6. — are how many times 1 ? 7. * are how many times 1 ? 8. * are how many times 1 ? 9. are how many times 1 ? 10. #% are how many times 1 ? See Section IX. A. 1. How much is 3 times f? B. 1. How much is 3 times 2f ? 4. 12 is of of what nu 5. 15 is of what nu, er ? 6. 18 is of what number ? 7. 20 is of what nuniber? 8. 24 is of what number ? 9. 28 is 1 of what nurnber? 10. 30 is of what number? 11. 3 is of what number ? 12. 4 is of what number? 13. 5 is of what number? 14. 8 is of what number ? 15. 9 is of what number ? 16. 17 is of what number ? 17. 25 is of what number ! 18. 38 is } of what number ? 19. 43 is of what number? 20. 54 is of what number? Miscellaneous Examples. 1. A man sold 8 yards of cloth for 3f dollars a yard; what did it come to ? 2. A man sold a horse for 76 dollars, which was of of what it cost him; how much did it cost him ? 3. A man sold of a gallon of wine for 40 cents; what was that a gallon ? 4. If it will take 13 yards of cloth to make a coat, how many yards will it take to make 7 coats ? 5. If I horse consume 3: bushels of oats in 2 days, how much would 2 horses in 5 days ? 6. If when the days are 9 hours long a man perform a journey in 10 days, in how many days would he perform it when the days are 12 hours long? 7. A man soid 8 yards of cloth for 7 dollars. a yard, and received 8 firkins of butter at 6j dullars a firkin ; how much was then due to him ? 8. Two men are 38 miles apart, and are travel ing towards each other, one at the rate of 3 miles an hour, the other 2 miles; how much do they approach each other in an hour ? How much in 2 hours ? In how many hours will they meet? At what distance from each place from which they set out ? SECTION XIII. A. 1. If you give of an orange to one hoy, and to another, how much more do you give the first, than the second ? 2. į of an orange is how many of an orange ? 3. If you give of an orange to one boy, and to another, how niany would you give away? How many would you have left ? 4. and are how many ; ? 5. A man gave to one labourer of a bushel of wheat, and to another ; how many of a bushel did he give to both ? How many bushels ? 6. j and are how many : ? How many times 1 ? 7. A man gave į of a barrel of flour to one man, and- of a barrel to another; to which did he give the most ? 8. is how many ? 9. A man hought of a bushel of wheat at one time, and of a bushel at another; at w', 'ch time did he buy the most ? 10. Į is how many f? 11. A man bought of a yard of cloth at one time, and f of a yard at another; at which timo did he buy the most ? 12. are how many :? to one man, and is of a bushel to another ; but he could not tell how to divide it. Another man standing by advised him to divide the whole bushel into six equal parts first, and then take of them for one, and of them for the other. How many parts did he give to each? How many to both ? How many had he left ? 14. į is how many ;? is how many }? and are how many ? 15. A man paying some money to his labourers, gave each man į of a dollar, and each boy { of a dollar; how much more did he give to a man than to a boy? 16. What is the difference between 1 and ? 17. If a man can earn f of a dollar in a day, and a boy of a dollar, how much does the man earn more than the boy ? 18. What is the difference between 6 and 1 ? 19. A boy distributing some nuts among his companions, gave } of a quart to one, and į of a quart to another ; how much more did he give to one, than to the other ? NOTE. Change them to sixths. 21. A man having two bushels of grain to distribute among his labourers, wished to give of a bushel to one, and of a bushel to another, and the rest to a third; but was at a loss to tell how to divide it; at last he concluded to divide each bushe) into six equal parts, or sixths, and then to istribute those parts. How many sixths did he give to each? 22. is how many š? 23. Å man had a horse, and a cow, and a sheep. The horse would eat of a load of hay in the winter, the cow }, and the sheep . How many of a load would each eat? How many would they all ent ? How many loads ? |