Arithmetic Homework Help : Division by Fractions

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Quiz : Divide and write the quotient as a fraction reduced to its lowest terms.

1. 2/19 ÷ 9 =

Answer: 2/171

Reciprocal of 9 = 1/9. So, 2/19 x 1/9 = (2 x 1)/(19 x 9) = 2/171.

2. 3/29 ÷ 1/8 =

Answer: 24/29

Reciprocal of 1/8 = 8. So, 3/29 x 8 = (3 x 8)/(29 x 1) = 24/29.

3. 14/31 ÷ 7 =

Answer: 2/31

Reciprocal of 7 = 1/7. So, 14/31 x 1/7 = 2/31 x 1/1 = 2/31.

4. 6/37 ÷ 1/6 =

Answer: 36/37

Reciprocal of 1/6 = 6. So, 6/37 x 6 = (6 x 6)/(37 x 1) = 36/37.

5. 4/45 ÷ 1/9 =

Answer: 4/5

Reciprocal of 1/9 = 9. So, 4/45 x 9 = 4/5 x 1 = 4/5.

6. 5/56 ÷ 1/8 =

Answer: 5/7

Reciprocal of 1/8 = 8. So, 5/56 x 8 = 5/7 x 1 = 5/7.

7. 8/21 ÷ 7 =

Answer: 8/147

Reciprocal of 7 = 1/7. So, 8/21 x 1/7 = (8 x 1)/(21 x 7) = 8/147.

8. 5/48 ÷ 1/6 =

Answer: 5/8

Reciprocal of 1/6 = 6. So, 5/48 x 6 = 5/8 x 1 = 5/8.

9. 7/40 ÷ 5 =

Answer: 7/200

Reciprocal of 5 = 1/5. So, 7/40 x 1/5 = (7 x 1)/(40 x 5) = 7/200.

10. 3/16 ÷ 1/4 =

Answer: 3/4

Reciprocal of 1/4 = 4. So, 3/16 x 4 = 3/4 x 1 = 3/4.

11. 7/25 ÷ 1/3 =

Answer: 21/25

Reciprocal of 1/3 = 3. So, 7/25 x 3 = (7 x 3)/25 = 21/25.

12. 3/16 ÷ 2 =

Answer: 3/32

Reciprocal of 2 = 1/2. So, 3/16 x 1/2 = (3 x 1)/(16 x 2) = 3/32.

13. 2/81 ÷ 1/18 =

Answer: 4/9

Reciprocal of 1/18 = 18. So, 2/81 x 18 = 2/9 x 2 = 4/9.

14. 3/64 ÷ 1/24 =

Answer: 9/8

Reciprocal of 1/24 = 24. So, 3/64 x 24 = 3/8 x 3 = 9/8.

15. 5/84 ÷ 1/28 =

Answer: 5/3

Reciprocal of 1/28 = 28. So, 5/84 x 28 = 5/3 x 1 = 5/3.

16. 7/66 ÷ 1/18 =

Answer: 21/11

Reciprocal of 1/18 = 18. So, 7/66 x 18 = 7/11 x 3 = 21/11.

17. 4/95 ÷ 1/30 =

Answer: 24/19

Reciprocal of 1/30 = 30. So, 4/95 x 30 = 4/19 x 6 = 24/19.

18. 1/36 ÷ 1/32 =

Answer: 8/9

Reciprocal of 1/32 = 32. So, 1/36 x 32 = 1/9 x 8 = 8/9.

19. 2/81 ÷ 1/15 =

Answer: 10/27

Reciprocal of 1/15 = 15. So, 2/81 x 15 = 2/27 x 5 = 10/27.

20. 1/22 ÷ 1/18 =

Answer: 9/11

Reciprocal of 1/18 = 18. So, 1/22 x 18 = 1/11 x 9 = 9/11.

21. 1/2 ÷ 9 =

Answer: 1/18

Reciprocal of 9 = 1/9. So, 1/2 x 1/9 = (1 x 1)/(2 x 9) = 1/18.

22. 1/3 ÷ 8 =

Answer: 1/24

Reciprocal of 8 = 1/8. So, 1/3 x 1/8 = (1 x 1)/(3 x 8) = 1/24.

23. 1/4 ÷ 6 =

Answer: 1/24

Reciprocal of 6 = 1/6. So, 1/4 x 1/6 = (1 x 1)/(4 x 6) = 1/24.

24. 1/5 ÷ 7 =

Answer: 1/35

Reciprocal of 7 = 1/7. So, 1/5 x 1/7 = (1 x 1)/(5 x 7) = 1/35.

25. 3/5 ÷ 7/4 =

Answer: 12/35

Reciprocal of 7/4 = 4/7. So, 3/5 x 4/7 = (3 x 4)/(5 x 7) = 12/35.

26. 5/7 ÷ 8/5 =

Answer: 25/56

Reciprocal of 8/5 = 5/8. So, 5/7 x 5/8 = (5 x 5)/(7 x 8) = 25/56.

27. 2/9 ÷ 9/4 =

Answer: 8/81

Reciprocal of 9/4 = 4/9. So, 2/9 x 4/9 = (2 x 4)/(9 x 9) = 8/81.

28. 3/23 ÷ 4/3 =

Answer: 9/92

Reciprocal of 4/3 = 3/4. So, 3/23 x 3/4 = (3 x 3)/(23 x 4) = 9/92.

29. 5/13 ÷ 3/11 =

Answer: 55/39

Reciprocal of 3/11 = 11/3. So, 5/13 x 11/3 = (5 x 11)/(13 x 3) = 55/39.

30. 5/12 ÷ 4/7 =

Answer: 35/48

Reciprocal of 4/7 = 7/4. So, 5/12 x 7/4 = (5 x 7)/(12 x 4) = 35/48.

31. 5/7 ÷ 8/3 =

Answer: 15/56

Reciprocal of 8/3 = 3/8. So, 5/7 x 3/8 = (5 x 3)/(7 x 8) = 15/56.

32. 7/10 ÷ 8/3 =

Answer: 21/80

Reciprocal of 8/3 = 3/8. So, 7/10 x 3/8 = (7 x 3)/(10 x 8) = 21/80.

33. 2/3 ÷ 7/4 =

Answer: 8/21

Reciprocal of 7/4 = 4/7. So, 2/3 x 4/7 = (2 x 4)/(3 x 7) = 8/21.

34. 7/81 ÷ 5/18 =

Answer: 14/45

Reciprocal of 5/18 = 18/5.
So, 7/81 x 18/5 = 7/9 x 2/5 = (7 x 2)/(9 x 5) = 14/45.

35. 5/64 ÷ 11/24 =

Answer: 15/88

Reciprocal of 11/24 = 24/11.
So, 5/64 x 24/11 = 5/8 x 3/11 = (5 x 3)/(8 x 11) = 15/88.

36. 9/84 ÷ 13/21 =

Answer: 9/52

Reciprocal of 13/21 = 21/13.
So, 9/84 x 21/13 = 9/4 x 1/13 = (9 x 1)/(4 x 13) = 9/52.

37. 9/66 ÷ 13/12 =

Answer: 18/143

Reciprocal of 13/12 = 12/13.
So, 9/66 x 12/13 = 9/11 x 2/13 = (9 x 2)/(11 x 13) = 18/143.

38. 3/95 ÷ 7/15 =

Answer: 9/133

Reciprocal of 7/15 = 15/7.
So, 3/95 x 15/7 = 3/19 x 3/7 = (3 x 3)/(19 x 7) = 9/133.

39. 5/36 ÷ 11/12 =

Answer: 5/33

Reciprocal of 11/12 = 12/11. So, 5/36 x 12/11 = 5/3 x 1/11 = (5 x 1)/(3 x 11) = 5/33.

40. 5/27 ÷ 13/15 =

Answer: 25/117

Reciprocal of 13/15 = 15/13. So, 5/27 x 15/13 = 5/9 x 5/13 = (5 x 5)/(9 x 13) = 25/117.

41. 9/22 ÷ 19/16 =

Answer: 72/209

Reciprocal of 19/16 = 16/19. So, 9/22 x 16/19 = 9/11 x 8/19 = (9 x 8)/(11 x 19) = 72/209.

42. 8/63 ÷ 15/14 =

Answer: 16/135

Reciprocal of 15/14 = 14/15. So, 8/63 x 14/15 = 8/9 x 2/15 = (8 x 2)/(9 x 15) = 16/135.

43. 9/22 ÷ 81/121 =

Answer: 11/18

Reciprocal of 81/121 = 121/81. So, 9/22 x 121/81 = (1 x 11)/(2 x 9) = 11/18.

44. 7/40 ÷ 21/16 =

Answer: 2/15

Reciprocal of 21/16 = 16/21. So, 7/40 x 16/21 = (1 x 2)/(5 x 3) = 2/15.

45. 4/25 ÷ 8/5 =

Answer: 1/10

Reciprocal of 8/5 = 5/8. So, 4/25 x 5/8 = (1 x 1)/(5 x 2) = 1/10.

46. 20/21 ÷ 2/33 =

Answer: 110/7

Reciprocal of 2/33 = 33/2. So, 20/21 x 33/2 = (10 x 11)/(7 x 1) = 110/7.

47. 6/77 ÷ 72/35 =

Answer: 5/132

Reciprocal of 72/35 = 35/72. So, 6/77 x 35/72 = (1 x 5)/(11 x 12) = 5/132.

48. 56/27 ÷ 32/9 =

Answer: 7/12

Reciprocal of 32/9 = 9/32. So, 56/27 x 9/32 = (7 x 1)/(3 x 4) = 7/12.

49. 5/24 ÷ 35/36 =

Answer: 3/14

Reciprocal of 35/36 = 36/35. So, 5/24 x 36/35 = (1 x 3)/(2 x 7) = 3/14.

50. 8/63 ÷ 52/27 =

Answer: 6/91

Reciprocal of 52/27 = 27/52. So, 8/63 x 27/52 = (2 x 3)/(7 x 13) = 6/91.

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