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Answer Key — Teacher Copy
Mathematics

Fractions Mastery: Parts, Equivalence, and Operations

Fractions—parts of a whole, equivalence, comparison, and basic operations
Date: July 25, 2026  •  40 questions  •  Total: 100 points
StudentAayush Nayak
Class6-B
GradeGrade 6
SchoolYBIS
1. True / False (1 pts)
A unit fraction is any fraction with numerator equal to 1.
✓ Answer
True
2. True / False (1 pts)
The fractions 3/5 and 6/10 represent the same value.
✓ Answer
True
3. True / False (1 pts)
A mixed number is always less than 1.
✓ Answer
False
4. True / False (1 pts)
To compare 2/7 and 3/7, you only need to compare the numerators.
✓ Answer
True
5. True / False (1 pts)
Adding 4/9 and 2/9 gives 6/18.
✓ Answer
False
6. True / False (1 pts)
The fraction 5/4 is an improper fraction.
✓ Answer
True
7. True / False (1 pts)
Reducing a fraction to lowest terms changes its value.
✓ Answer
False
8. True / False (1 pts)
Zero can be written as 0/9 for any nonzero denominator.
✓ Answer
True
9. True / False (1 pts)
To add 1/3 and 1/4, you can add the denominators to get 1/7.
✓ Answer
False
10. True / False (1 pts)
On a number line, 5/6 is to the right of 3/4.
✓ Answer
True
11. Multiple Choice (2 pts)
Which of the following is a proper fraction?
✓ Answer
C. 4/7
12. Multiple Choice (2 pts)
Convert 17/5 to a mixed number.
✓ Answer
B. 3 2/5
13. Multiple Choice (2 pts)
Which pair are like fractions?
✓ Answer
A. 3/8 and 5/8
14. Multiple Choice (2 pts)
Simplify 18/24 to lowest terms.
✓ Answer
A. 3/4
15. Multiple Choice (2 pts)
What is 2/3 + 1/6?
✓ Answer
C. 5/6
16. Multiple Choice (2 pts)
Which fraction is equal to 0.25?
✓ Answer
B. 1/4
17. Multiple Choice (2 pts)
Which fraction is greatest?
✓ Answer
D. 5/6
18. Multiple Choice (2 pts)
Compute 5/8 − 1/4.
✓ Answer
B. 3/8
19. Multiple Choice (2 pts)
Which is equivalent to 9/12?
✓ Answer
A. 3/4
20. Multiple Choice (2 pts)
The least common denominator of 2/9 and 5/12 is:
✓ Answer
B. 36
21. Fill in the Blank (2 pts)
The number on the top of a fraction is called the _____.
✓ Answer
numerator
22. Fill in the Blank (2 pts)
Fractions with the same denominator are called _____.
✓ Answer
like fractions
23. Fill in the Blank (2 pts)
To add 1/5 and 2/3, use a common _____.
✓ Answer
denominator
24. Fill in the Blank (2 pts)
The fraction 10/15 in lowest terms is _____.
✓ Answer
2/3
25. Fill in the Blank (2 pts)
One whole written as an improper fraction with denominator 9 is _____.
✓ Answer
9/9
26. Fill in the Blank (2 pts)
The mixed number 4 3/8 written as an improper fraction is _____.
✓ Answer
35/8
27. Fill in the Blank (2 pts)
The fraction halfway between 1/4 and 1/2 is _____.
✓ Answer
3/8
28. Fill in the Blank (2 pts)
The symbol to show 7/11 is greater than 5/11 is _____.
✓ Answer
>
29. Fill in the Blank (2 pts)
A fraction with a numerator larger than its denominator is called an _____.
✓ Answer
improper fraction
30. Fill in the Blank (2 pts)
The reciprocal of 3/5 is _____.
✓ Answer
5/3
31. Word Problem (5 pts)
A recipe needs 3/4 cup of sugar. You only have 1/2 cup. How much more sugar do you need? Show your working.
✎ Worked Solution
Step 1: Find a common denominator: 1/2 = 2/4
Step 2: Subtract: 3/4 − 2/4 = 1/4
Answer: 1/4 cup more
32. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Convert 1 1/4 to an improper fraction: 1 1/4 = 5/4
Step 2: Find common denominator for 5/4 and 3/8: LCD = 8; 5/4 = 10/8
Step 3: Add: 10/8 + 3/8 = 13/8 = 1 5/8
Answer: 1 5/8 km
33. Word Problem (5 pts)
A shelf holds 24 books. If 5/8 of them are fiction, how many fiction books are there? Show your working.
✎ Worked Solution
Step 1: Multiply total by the fraction: 24 × 5/8
Step 2: Simplify: (24 ÷ 8) × 5 = 3 × 5 = 15
Answer: 15 fiction books
34. Word Problem (5 pts)
How many minutes are in 2/3 of an hour? Show your working.
✎ Worked Solution
Step 1: 1 hour = 60 minutes
Step 2: Compute 2/3 of 60: (2/3) × 60 = 40
Answer: 40 minutes
35. Word Problem (5 pts)
What fraction of a full turn (360°) is a right angle (90°)? Show your working.
✎ Worked Solution
Step 1: Form the fraction: 90/360
Step 2: Simplify by 90: 90/360 = 1/4
Answer: 1/4 of a full turn
36. Word Problem (5 pts)
There are 3 pizzas, each cut into 8 slices. Four friends eat 5 slices each. How many pizzas are left uneaten? Show your working.
✎ Worked Solution
Step 1: Total slices: 3 × 8 = 24
Step 2: Slices eaten: 4 × 5 = 20
Step 3: Slices remaining: 24 − 20 = 4
Step 4: Convert to pizzas: 4/8 = 1/2 pizza
Answer: 1/2 pizza left
37. Word Problem (5 pts)
Which is greater, 7/12 or 5/8, and by how much? Show your working.
✎ Worked Solution
Step 1: Find a common denominator: LCD of 12 and 8 is 24
Step 2: Convert: 7/12 = 14/24; 5/8 = 15/24
Step 3: Compare and subtract: 15/24 − 14/24 = 1/24
Answer: 5/8 is greater by 1/24
38. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Convert to improper fractions: 3 1/2 = 7/2; 1 3/4 = 7/4
Step 2: Express all with LCD 20: 7/2 = 70/20; 7/4 = 35/20; 2/5 = 8/20
Step 3: Subtract: 70/20 − 35/20 − 8/20 = 27/20
Step 4: Convert to mixed number: 27/20 = 1 7/20
Answer: 1 7/20 L remains
39. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Compute group work time: (3/10) × 50 = 15 minutes
Step 2: Total used: 12 + 15 = 27 minutes
Step 3: Remaining: 50 − 27 = 23 minutes
Answer: 23 minutes
40. Word Problem (5 pts)
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.
✎ Worked Solution
Step 1: Total fraction planted: 2/5 + 1/4
Step 2: Find LCD 20: 2/5 = 8/20; 1/4 = 5/20
Step 3: Sum planted: 8/20 + 5/20 = 13/20
Step 4: Flowers: 1 − 13/20 = 7/20
Answer: 7/20 of the garden