Fractions and Percentages Practice

Name:

Date:

📚 Part 1: Calculating Fractions of Numbers

Example: To find 1/4 of 32, divide 32 by 4 = 8

1. What is 1/2 of 24?

2. Calculate 3/4 of 16. Show your working:

3. What is 2/5 of 30?

Answer: __________

4. Find 3/8 of 48. Show your working:

🔢 Part 2: Converting to Percentages

Example: If 1/4 of 32 = 8, then 8 is 25% of 32 (because 1/4 = 25%)

5. If 1/2 of 60 equals 30, what percentage of 60 is 30?

25%

40%

50%

75%

6. Calculate 3/5 of 40, then express your answer as a percentage of 40:

3/5 of 40 = __________

This is __________% of 40

7. Find 7/10 of 80 and express it as a percentage:

🌟 Part 3: Real-Life Challenge

8. Sarah's school has 480 students. If 3/8 of the students play sport, how many students play sport? What percentage of the school is this?

Number of students who play sport: __________

Percentage of school: __________%

9. A shop has $720 in sales on Monday. If 5/9 of the sales came from food items, how much money came from food sales? Express this as a percentage of total sales.

Food sales: $__________

Percentage of total sales: __________%

10. Challenge: A library has 600 books. 2/5 are fiction, 1/4 are non-fiction, and the rest are reference books. How many reference books are there, and what percentage of the total collection do they represent?