Section 2.5 Division of Fractions and Applications 139 Concept 1: Reciprocal of a Fraction 12. For each number, determine whether the number has a reciprocal. a. b. c. 6 d. 0 For Exercises 13–20, find the reciprocal of the number, if it exists. (See Example 1.) 13. 14. 15. 16. 17. 4 18. 9 19. 0 20. 14 5 Concept 2: Division of Fractions For Exercises 21–24, fill in the blank. 21. Dividing by 3 is the same as multiplying by _____. 22. Dividing by 5 is the same as multiplying by _____. 23. Dividing by 8 is the same as ____________ by . 24. Dividing by 12 is the same as ____________ by . For Exercises 25–40, divide and simplify the answer to lowest terms. Write the answer as a fraction or whole number. (See Example 2.) 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. 38. 39. 40. Mixed Exercises For Exercises 41–64, multiply or divide as indicated. Write the answer as a fraction or whole number. 41. 42. 43. 44. 45. 46. 47. 48. 49. 50. 51. 52. 5 6 53. 54. 55. 56. 42 11 7 16 5 12 8 6 4 3 1 16 4 3 5 8 2 9 7 12 5 3 7 8 1 4 13 5 10 17 36 5 25 9 1000 17 10 3 9 100 13 1000 24 5 8 12 4 3 4 3 1 3 10 9 1 18 30 40 15 8 9 50 18 25 20 6 5 12 5 4 4 3 5 7 2 3 6 5 6 5 3 4 3 4 9 10 9 2 15 2 3 2 11 2 3 4 14 3 6 5 8 7 3 10 7 13 2 5 11 3 6 5 2 15 5 12 1 12 1 8 0 4 10 9 5 6 7 8 5 3 1 2
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