← Back to view Tip: choose "Save as PDF" as your printer for a clean PDF
Mathematics

Fractions Mastery: Parts, Equivalence, and Operations

Fractions—parts of a whole, equivalence, comparison, and basic operations
Date: July 25, 2026  •  Questions: 40  •  Estimated time: 35 minutes
Score
____ / 100
Student Name
Class / Section
Grade / Year
Teacher
School
Instructions: Read each question carefully and answer to the best of your ability. Show all working for word problems.
1. A unit fraction is any fraction with numerator equal to 1. (1 pt)
True
False
2. The fractions 3/5 and 6/10 represent the same value. (1 pt)
True
False
3. A mixed number is always less than 1. (1 pt)
True
False
4. To compare 2/7 and 3/7, you only need to compare the numerators. (1 pt)
True
False
5. Adding 4/9 and 2/9 gives 6/18. (1 pt)
True
False
6. The fraction 5/4 is an improper fraction. (1 pt)
True
False
7. Reducing a fraction to lowest terms changes its value. (1 pt)
True
False
8. Zero can be written as 0/9 for any nonzero denominator. (1 pt)
True
False
9. To add 1/3 and 1/4, you can add the denominators to get 1/7. (1 pt)
True
False
10. On a number line, 5/6 is to the right of 3/4. (1 pt)
True
False

11. Which of the following is a proper fraction? (2 pts)
A. 7/5
B. 9/9
C. 4/7
D. 12/12
12. Convert 17/5 to a mixed number. (2 pts)
A. 3 1/5
B. 3 2/5
C. 2 3/5
D. 4 2/5
13. Which pair are like fractions? (2 pts)
A. 3/8 and 5/8
B. 2/7 and 3/9
C. 4/5 and 4/7
D. 1/3 and 2/6
14. Simplify 18/24 to lowest terms. (2 pts)
A. 3/4
B. 2/5
C. 4/9
D. 5/8
15. What is 2/3 + 1/6? (2 pts)
A. 3/9
B. 1/2
C. 5/6
D. 7/6
16. Which fraction is equal to 0.25? (2 pts)
A. 1/3
B. 1/4
C. 2/5
D. 3/8
17. Which fraction is greatest? (2 pts)
A. 3/4
B. 4/5
C. 7/9
D. 5/6
18. Compute 5/8 − 1/4. (2 pts)
A. 1/2
B. 3/8
C. 1/8
D. 5/12
19. Which is equivalent to 9/12? (2 pts)
A. 3/4
B. 2/3
C. 6/10
D. 4/5
20. The least common denominator of 2/9 and 5/12 is: (2 pts)
A. 21
B. 36
C. 108
D. 18

21. The number on the top of a fraction is called the   . (2 pts)
22. Fractions with the same denominator are called   . (2 pts)
23. To add 1/5 and 2/3, use a common   . (2 pts)
24. The fraction 10/15 in lowest terms is   . (2 pts)
25. One whole written as an improper fraction with denominator 9 is   . (2 pts)
26. The mixed number 4 3/8 written as an improper fraction is   . (2 pts)
27. The fraction halfway between 1/4 and 1/2 is   . (2 pts)
28. The symbol to show 7/11 is greater than 5/11 is   . (2 pts)
29. A fraction with a numerator larger than its denominator is called an   . (2 pts)
30. The reciprocal of 3/5 is   . (2 pts)

31. A recipe needs 3/4 cup of sugar. You only have 1/2 cup. How much more sugar do you need? Show your working. (5 pts)
Working:
Answer:
32. Maya jogs 1 1/4 km in the morning and 3/8 km in the evening. How far does she jog in total each day? Show your working. (5 pts)
Working:
Answer:
33. A shelf holds 24 books. If 5/8 of them are fiction, how many fiction books are there? Show your working. (5 pts)
Working:
Answer:
34. How many minutes are in 2/3 of an hour? Show your working. (5 pts)
Working:
Answer:
35. What fraction of a full turn (360°) is a right angle (90°)? Show your working. (5 pts)
Working:
Answer:
36. There are 3 pizzas, each cut into 8 slices. Four friends eat 5 slices each. How many pizzas are left uneaten? Show your working. (5 pts)
Working:
Answer:
37. Which is greater, 7/12 or 5/8, and by how much? Show your working. (5 pts)
Working:
Answer:
38. A can has 3 1/2 L of paint. You use 1 3/4 L on a wall and 2/5 L for touch-ups. How much paint remains? Show your working. (5 pts)
Working:
Answer:
39. A class period is 50 minutes. The teacher spends 12 minutes reviewing and 3/10 of the period on group work. How many minutes are left for practice? Show your working. (5 pts)
Working:
Answer:
40. In a garden, 2/5 is planted with carrots and 1/4 with beans. The rest is for flowers. What fraction is for flowers? Show your working. (5 pts)
Working:
Answer: