Mastering Fraction:Practice Questions

Fractions are the building blocks of mathematics, bridging whole numbers and decimals while popping up everywhere—from cooking recipes to geometry problems. Whether you’re a student tackling Grade 10 math or just brushing up on your skills, understanding fractions and their types is key to unlocking more complex concepts. In this blog, we’ll break down what fractions are, explore their different types—proper, improper, mixed, and equivalent—and show you how to work with them like a pro. Stick around for some hands-on practice questions designed to test your knowledge and boost your confidence.

We are providing practice questions aligned with the Canadian school curriculum (e.g., Ontario Grade 7–10 math, such as MPM1D or MFM2P), covering the topics of fractions, types of fractions, comparison, adding and subtracting fractions, multiplying and dividing , and converting to decimals.

The questions are designed to progressively increase in difficulty and include a mix of computation, reasoning, and real-world applications.

1. What is the numerator and denominator in the fraction 5/8?
2. Classify 3/7 as proper, improper, or mixed.
3. Is 9/4 a proper fraction or an improper ?
4. Write 2 1/3 as an improper fraction.
5. Convert 11/5 into a mixed number.
6. Identify the type of fraction: 4 2/9.
7. Is 6/6 a proper or improper fraction? Why?
8. Write 15/4 as a mixed number.
9. Convert 3 5/6 to an improper fraction.
10. Classify 1/10 and explain your reasoning.
11. Write two examples of a proper fraction.
12. Write two examples of an improper fraction.
13. Convert 20/3 to a mixed number.
14. Is 5 7/8 a mixed number? If so, write it as an improper fraction.
15. Simplify 12/18 and identify its type.

16. Which is larger: 2/5 or 3/7? Use a common denominator.

17. Compare 5/6 and 4/5 using any method.

18. Order from smallest to largest: 1/4, 2/3, 1/2.

19. Is 7/8 greater than 3/4? Show your work.

20. Compare 9/10 and 1 1/10

21. Which is smaller: 2/9 or 1/6?

22. Use a number line to compare 3/8 and 1/2.

23. Order 5/12, 1/3, 7/18 from largest to smallest.

24. Compare 2 1/4 and 9/5.

25. Is 4/7 equal to, less than, or greater than 8/14?

26. Which is larger: 11/12 or 7/8?

27. Compare 3/10 and 2/5 using decimals.

28. Order 1 2/3, 5/4, 3/2 from smallest to largest.

29. Is 5/9 less than 6/11? Prove it.

30. Compare 13/20 and 2/3 using a common denominator.

• 31. Add 1/4 + 2/4.

• 32. Subtract 5/6 – 1/6.

• 33. Find 3/8 + 1/2.

• 34. Calculate 7/10 – 3/5.

• 35. Add 2/3 + 5/9.

• 36. Subtract 4/7 – 1/3.

• 37. Find 1 1/5 + 2/5.

• 38. Calculate 2 3/4 – 1 1/4.
• 39. Add 5/12 + 1/6.
• 40. Subtract 9/10 – 2/15.
• 41. Find 3 2/7 + 1 3/7.
• 42. Calculate 11/12 – 5/8.
• 43. Add 1/9 + 2/3.
• 44. Subtract 4 1/2 – 2 5/6.
• 45. Find 7/8 + 3/4.
• 46. Calculate 13/20 – 1/5.
• 47. Add 2 1/3 + 1 1/6.
• 48. Subtract 5/9 – 1/12.
• 49. Find 5 3/10 + 2 7/10.
• 50. Calculate 3 4/5 – 1 2/3.

51. Multiply 2/3 x 5/7.

52. Divide 1/4 ÷ 3/8.

53. Find 4/5 x 2/3.

54. Calculate 7/9 ÷ 1/3.

55. Multiply 2 1/2 x 3/4.

56. Divide 1 1/5 ÷ 2/5.

57. Find 5/6 x 9/10.

58. Calculate 3/7 ÷ 6/14.

59. Multiply 1/8 x 4.

60. Divide 2/9 ÷ 2.

61. Find 3 2/3 x 1/11.

62. Calculate 5 ÷ 1/2.

63. Multiply 7/12 x 4/7.

64. Divide 5/8 ÷ 15/16.

65. Find 2 1/4 x 1 1/3.

66. Calculate 4 2/5 ÷ 2 1/5.

67. Multiply 3/10 x 5/6.

68. Divide 11/12 ÷ 1/6.

69. Find 8/9 x 3 3/4.

70. Calculate 6 ÷ 3/5.

• 71. Convert 1/2 to a decimal.
• 72. Write 3/4 as a decimal.
• 73. Change 2/5 to a decimal.
• 74. Convert 7/10 into a decimal.
• 75. Write 5/8 as a decimal.
• 76. Convert 1/3 to a decimal (round to 3 decimal places).
• 77. Change 2 1/4 to a decimal.
• 78. Write 9/20 as a decimal.
• 79. Convert 4/25 to a decimal.
• 80. Change 11/5 to a decimal.
• 81. Write 13/16 as a decimal.
• 82. Convert 3 2/3 to a decimal (round to 2 decimal places).
• 83. Change 7/9 to a decimal (round to 3 decimal places).
• 84. Write 15/6 as a decimal.
• 85. Convert 1/7 to a decimal (round to 4 decimal places).

• 86. A recipe needs 2/3 cup of sugar. You add 1/4 cup. How much more do you need?
• 87. Multiply 3/5 by 10/11 and convert the answer to a decimal.
• 88. Subtract 2 1/6 – 5/12 and simplify.
• 89. Divide 4/7 by 2/3 and write as a mixed number.
• 90. Compare 7/12 and 5/9 after converting both to decimals.
• 91. Add 3/8 + 5/6 and convert the result to a decimal.
• 92. A pizza is cut into 8 slices. You eat 3/8 and your friend eats 1/4. What fraction is left?
• 93. Multiply 1 2/5 x 3/7 and simplify.
• 94. Convert 17/20 to a decimal and compare it to 4/5.
• 95. Subtract 11/15 – 2/5 and write as a decimal.
• 96. A tank is 5/6 full. You remove 1/3. What fraction remains?
• 97. Divide 2 1/2 ÷ 5/8 and simplify.
• 98. Add 4 3/10 + 2 1/5 and convert to a decimal.
• 99. A store discounts an item by 1/5 and then by 1/4 of the new price. What fraction of the original price remains?
• 100. Multiply 9/10 x 5/6, convert to a decimal, and compare to 1.