Chapter 5 - Multiplying and Dividing Fractions

46. (3/8) / (3/5)

3/8 divided by 3/5 = 3/8 x 5/3 = (3 x 5)/(8 x 3) = 15/24 = 5/8 15/24 = 5/8

5. 1/5 of 3/5

1/5 of 3/5 = 1/5 x 3/5 = (1 x 3)/(5 x 5) = 3/25 3/25

63. 7 / (1/14)

7 divided by 1/14 = 7/1 x 14/1 = (7 x 14)/(1 x 1) = 98/1 = 98 98

32. 1/5 x 1/3 x 1/4 x 1/8

1/5 x 1/3 x 1/4 x 1/8 = (1 x 1 x 1 x 1)/(5 x 3 x 4 x 8) = 1/480 1/480

12. 1/9 of 2/3

1/9 of 2/3 = 1/9 x 2/3 = (1 x 2)/(9 x 3) = 2/27 2/27

20. 2/1 x 5/1

2/1 x 5/1 = (2 x 5)/(1 x 1) = 10/1 = 10 10/1 = 10

48. (2/3) / (1/2)

2/3 divided by 1/2 = 2/3 x 2/1 = (2 x 2)/(3 x 1) = 4/3 = 1 ⅓ 4/3 = 1 1/3

38. (2/3) / (1/3)

2/3 divided by 1/3 = 2/3 x 3/1 = (2 x 3)/(3 x 1) = 6/3 = 2 6/3 = 2

33. 3/8 x 2/3 x 1/3 x 3

3/8 x 2/3 x 1/3 x 3 = 3/8 x 2/3 x 1/3 x 3/1 = (3 x 2 x 1 x 3)/(8 x 3 x 3 x 1) = 18/72 = 1/4 18/72 = 1/4

61. 4 / (1/2)

4 divided by 1/2 = 4/1 x 2/1 = (4 x 2)/(1 x 1) = 8/1 = 8 8

62. 5 / (1/5)

5 divided by 1/5 = 5/1 x 5/1 = (5 x 5)/(1 x 1) = 25/1 = 25 25

69. 300 / (3/8)

300 divided by 3/8 = 300/1 x 8/3 = (300 x 8)/(1 x 3) = 2400/3 = 800 800

67. 35 / (3/10)

35 divided by 3/10 = 35/1 x 10/3 = (35 x 10)/(1 x 3) = 350/3 = 116 ⅔ 350/3 = 116 2/3

51. (9/10) / (9/10)

9/10 divided by 9/10 = 9/10 x 10/9 = (9 x 10)/(10 x 9) = 90/90 = 1 90/90 = 1

23. 9/100 x 1 x 3

9/100 x 1 x 3 = 9/100 x 1/1 x 3/1 = (9 x 1 x 3)/(100 x 1 x 1) = 27/100 27/100

14. 4/25 x 1/5

4/25 x 1/5 = (4 x 1)/(25 x 5) = 4/125 4/125

27. 4/7 x 3/5 x 1/9 x 1/4

4/7 x 3/5 x 1/9 x 1/4 = (4 x 3 x 1 x 1)/(7 x 5 x 9 x 4) = 12/1260 = 1/105 12/1260 = 1/105

7. 0/4 of 5/6

0/4 of 5/6 = 0/4 x 5/6 = (0 x 5)/(4 x 6) = 0/24 = 0 0/24 = 0

11. 3/4 of 3/4

3/4 of 3/4 = 3/4 x 3/4 = (3 x 3)/(4 x 4) = 9/16 9/16

54. 0 / (7/8)

0 divided by anything is equal to 0 0

36. (1/3) / (1/3)

1/3 divided by 1/3 = 1/3 x 3/1 = (1 x 3)/(3 x 1) = 3/3 = 1 1

42. (1/3) / (1/5)

1/3 divided by 1/5 = 1/3 x 5/1 = (1 x 5)/(3 x 1) = 5/3 = 1 ⅔ 5/3 = 1 2/3

1. 1/3 of 1/3

1/3 of 1/3 = 1/3 x 1/3 = (1 x 1)/(3 x 3) = 1/9 1/9

25. 1/3 x 1/20 x 1/8

1/3 x 1/20 x 1/8 = (1 x 1 x 1)/(3 x 20 x 8) = 1/480 1/480

26. 1/3 x 1/4 x 1/5 x 3/7

1/3 x 1/4 x 1/5 x 3/7 = (1 x 1 x 1 x 3)/(3 x 4 x 5 x 7) = 3/420 = 1/140 3/420 = 1/140

13. 1/3 x 1/5

1/3 x 1/5 = (1 x 1)/(3 x 5) = 1/15 1/15

40. (1/5) / (3/5)

1/5 divided by 3/5 = 1/5 x 5/3 = (1 x 5)/(5 x 3) = 5/15 = 1/3 5/15 = 1/3

8. 1/5 of 3/4

1/5 of 3/4 = 1/5 x 3/4 = (1 x 3)/(5 x 4) = 3/20 3/20

44. (1/8) / (3/16)

1/8 divided by 3/16 = 1/8 x 16/3 = (1 x 16)/(8 x 3) = 16/24 = 2/3 16/24 = 2/3

37. (1/8) / (3/8)

1/8 divided by 3/8 = 1/8 x 8/3 = (1 x 8)/(8 x 3) = 8/24 = 1/3 8/24 = 1/3

2. 1/8 of 3/8

1/8 of 3/8 = 1/8 x 1/8 = (1 x 3)/(8 x 8) = 3/64 3/64

15. 1/8 x 3/16

1/8 x 3/16 = (1 x 3)/(8 x 16) = 3/128 3/128

28. 1/8 x 3/8 x 1/2 x 1/3

1/8 x 3/8 x 1/2 x 1/3 = (1 x 3 x 1 x 1)/(8 x 8 x 2 x 3) = 3/384 = 1/128 3/384 = 1/128

35. 1/9 x 1/2 x 1/3 x 3/7

1/9 x 1/2 x 1/3 x 3/7 = (1 x 1 x 1 x 3)/(9 x 2 x 3 x 7) = 3/378 = 1/126 3/378 = 1/126

19. 1/9 x 4/9

1/9 x 4/9 = (1 x 4)/(9 x 9) = 4/81 4/81

68. 100 / (1/3)

100 divided by 1/3 = 100/1 x 3/1 = (100 x 3)/(1 x 1) = 300/1 = 300 300

70. 1000 / (1/5)

1000 divided by 1/5 = 1000/1 x 5/1 = (1000 x 5)/(1 x 1) = 5000/1 = 5000 5000

64. 12 / (3/8)

12 divided by 3/8 = 12/1 x 8/3 = (12 x 8)/(1 x 3) = 96/3 = 32 32

65. 14 / (2/7)

14 divided by 2/7 = 14/1 x 7/2 = (14 x 7)/(1 x 2) = 98/2 = 49 49

57. (14/20) / (7/4)

14/20 divided by 7/4 = 14/20 x 4/7 = (14 x 4)/(20 x 7) = 56/140 = 2/5 56/140 = 2/5

49. (16/27) / (8/9)

16/27 divided by 8/9 = 16/27 x 9/8 = (16 x 9)/(27 x 8) = 144/216 = 2/3 144/216 = 2/3

3. 2/3 of 1/3

2/3 of 1/3 = 2/3 x 1/3 = (2 x 1)/(3 x 3) = 2/9 2/9

10. 2/3 of 4/7

2/3 of 4/7 = 2/3 x 4/7 = (2 x 4)/(3 x 7) = 8/21 8/21

66. 20 / (1/10)

20 divided by 1/10 = 20/1 x 10/1 = (20 x 10)/(1 x 1) = 200/1 = 200 200

58. 25 / (1/5)

25 divided by 1/5 = 25/1 x 5/1 = (25 x 5)/(1 x 1) = 125/1 = 125 125

24. 3/11 x 0/8 x 6/7

3/11 x 0/8 x 6/7 = (3 x 0 x 6)/(11 x 8 x 7) = 0/616 = 0 0/616 = 0

47. (3/4) / (8/5)

3/4 divided by 8/5 = 3/4 x 5/8 = (3 x 5)/(4 x 8) = 15/32 15/32

29. 3/7 x 1/2 x 1/4 x 1/3

3/7 x 1/2 x 1/4 x 1/3 = (3 x 1 x 1 x 1)/(7 x 2 x 4 x 3) = 3/168 = 1/56 3/168 = 1/56

31. 3/7 x 2/7 x 1/2 x 1/3

3/7 x 2/7 x 1/2 x 1/3 = (3 x 2 x 1 x 1)/(7 x 7 x 2 x 3) = 6/294 = 1/49 6/294 = 1/49

17. 3/8 x 3/5

3/8 x 3/5 = (3 x 3)/(8 x 5) = 9/40 9/40

59. 30 / (1/10)

30 divided by 1/10 = 30/1 x 10/1 = (30 x 10)/(1 x 1) = 300/1 = 300 300

22. 4/13 x 2/5 x 6/7

4/13 x 2/5 x 6/7 = (4 x 2 x 6)/(13 x 5 x 7) = 48/455 48/455

43. (4/25) / (1/5)

4/25 divided by 1/5 = 4/25 x 5/1 = (4 x 5)/(25 x 1) = 20/25 = 4/5 20/25 = 4/5

50. (5/15) / 5

5/15 divided by 5 = 5/15 x 1/5 = (5 x 1)/(15 x 5) = 5/75 = 1/15 5/75 = 1/15

55. (5/24) / (3/8)

5/24 divided by 3/8 = 5/24 x 8/3 = (5 x 8)/(24 x 3) = 40/72 = 5/9 40/72 = 5/9

9. 5/6 of 5/6

5/6 of 5/6 = 5/6 x 5/6 = (5 x 5)/(6 x 6) = 25/36 25/36

39. (5/8) / (3/8)

5/8 divided by 3/8 = 5/8 x 8/3 = (5 x 8)/(8 x 3) = 40/24 = 5/3 = 1 ⅔ 40/24 = 1 2/3

4. 5/8 of 3/8

5/8 of 3/8 = 5/8 x 3/8 = (5 x 3)/(8 x 8) = 15/64 15/64

34. 5/8 x 1/3 x 1/2 x 3/8

5/8 x 1/3 x 1/2 x 3/8 = (5 x 1 x 1 x 3)/(8 x 3 x 2 x 8) = 15/384 = 5/128 15/384 = 5/128

30. 5/8 x 1/3 x 2/3 x 3/7

5/8 x 1/3 x 2/3 x 3/7 = (5 x 1 x 2 x 3)/(8 x 3 x 3 x 7) = 30/504 = 5/84 30/504 = 5/84

60. 50 / (1/2)

50 divided by 1/2 = 50/1 x 2/1 = (50 x 2)/(1 x 1) = 100/1 = 100 100

21. 7/10 x 1/5

7/10 x 1/5 = (7 x 1)/(10 x 5) = 7/50 7/50

18. 7/16 x 1/4

7/16 x 1/4 = (7 x 1)/(16 x 4) = 7/64 7/64

56. (7/48) / (14/16)

7/48 divided by 14/16 = 7/48 x 16/14 = (7 x 16)/(48 x 14) = 112/672 = 1/6 112/672 = 1/6

52. (7/5) / (5/7)

7/5 divided by 5/7 = 7/5 x 7/5 = (7 x 7)/(5 x 5) = 49/25 = 1 24/25 49/25 = 1 24/25

45. (7/8) / (1/4)

7/8 divided by 1/4 = 7/8 x 4/1 = (7 x 4)/(8 x 1) = 28/8 = 3 ½ 28/8 = 3 1/2

41. (7/8) / (3/8)

7/8 divided by 3/8 = 7/8 x 8/3 = (7 x 8)/(8 x 3) = 56/24 = 7/3 = 2 ⅓ 56/24 = 2 1/3

6. 7/8 of 3/8

7/8 of 3/8 = 7/8 x 3/8 = (7 x 3)/(8 x 8) = 21/64 21/64

16. 7/8 x 1/4

7/8 x 1/4 = (7 x 1)/(8 x 4) = 7/32 7/32

53. (3/5) / 0

division by 0 is undefined Undefined