Worksheet

Instructions

Read each question carefully and choose the best answer. Show your work for all calculations.

Part 1: Identifying Fractions

1. What is a fraction?
2. What is a numerator?
3. What is a denominator?
4. What is a proper fraction?
5. What is an improper fraction?
6. What is a mixed number?
7. What is a unit fraction?
8. What is a like fraction?
9. What is an unlike fraction?
10. What is a simplest form fraction?

Part 2: Finding Fractions of a Whole

11. What is a whole number?
12. What is a fraction of a whole?
13. What is the formula for finding a fraction of a whole?
14. What is the fraction of 30 that is represented by 10?
15. What is the fraction of 50 that is represented by 25?
16. What is the fraction of 100 that is represented by 75?
17. What is the fraction of 80 that is represented by 20?
18. What is the fraction of 90 that is represented by 45?
19. What is the fraction of 120 that is represented by 60?
20. What is the fraction of 150 that is represented by 30?

Part 3: Solving Word Problems

21. If a pizza has 8 slices and John ate 2 slices, what fraction of the pizza did he eat?
22. If there are 30 students in a class and 12 are girls, what fraction of the class is made up of boys?
23. If you have 18 marbles and 6 of them are blue, what fraction of the marbles are not blue?
24. If a recipe calls for 3 cups of flour and you only have 1 cup, what fraction of the flour do you need to buy?
25. If a train is 300 meters long and a quarter of the train has already passed, how many meters of the train still need to pass by to completely cross a bridge that is 1000 meters long?

Part 4: Comparing Fractions

26. What is the symbol used for “greater than” in comparing fractions?
27. What is the symbol used for “less than” in comparing fractions?
28. What is the symbol used for “equal to” in comparing fractions?
29. Compare the fractions 1/3 and 2/6
30. Compare the fractions 3/4 and 5/8

Part 5: Adding and Subtracting Fractions

31. What is the formula for adding fractions with like denominators?
32. What is the formula for adding fractions with unlike denominators?
33. What is the formula for subtracting fractions with like denominators?
34. What is the formula for subtracting fractions with unlike denominators?
35. Simplify the following fraction: 6/12 + 2/12
36. Simplify the following fraction: 5/8 + 1/2
37. Simplify the following fraction: 9/10 – 3/10
38. Simplify the following fraction: 2/5 – 1/4

Part 6: Multiplying and Dividing Fractions

39. What is the formula for multiplying fractions?
40. What is the formula for dividing fractions?
41. Simplify the following fraction: 3/4 * 1/2
42. Simplify the following fraction: 5/6 * 2/3
43. Simplify the following fraction: 2/3 ÷ 4/5
44. Simplify the following fraction: 6/7 ÷ 3/4

Part 7: Converting Fractions

45. What is the formula for converting a mixed number to an improper fraction?
46. What is the formula for converting an improper fraction to a mixed number?
47. Convert the mixed number 2 1/3 to an improper fraction.
48. Convert the mixed number 3 2/5 to an improper fraction.
49. Convert the improper fraction 12/5 to a mixed number.
50. Convert the improper fraction 16/3 to a mixed number.

End of Worksheet