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Fractions, Decimals, and Percentages

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Fractions, Decimals, and Percentages

Fractions, Decimals, and Percentages

Fractions, decimals and percentages illustration

📊 Part 1: Converting Between Forms

1. Convert these fractions to decimals:

a) 1/2 = _______

b) 3/4 = _______

c) 1/5 = _______

d) 7/10 = _______

2. Convert these decimals to percentages:

a) 0.25 = _______%

b) 0.6 = _______%

c) 0.85 = _______%

d) 0.03 = _______%

3. Convert these percentages to fractions (simplify where possible):

a) 50% = _______

b) 25% = _______

c) 80% = _______

d) 15% = _______

🎯 Part 2: Multiple Choice

4. Which decimal is equivalent to 3/5?

0.3

0.6

0.35

0.53

5. What percentage is equivalent to 0.75?

7.5%

75%

0.75%

750%

6. Which fraction is equivalent to 40%?

4/10

2/5

40/100

All of the above

💰 Part 3: Finding Percentages of Whole Numbers

7. Calculate these percentages:

a) 25% of 80 = _______

b) 15% of $120 = $_______

c) 60% of 250 students = _______ students

8. A school has 400 students. If 35% of them play sport, how many students play sport?

Answer: _______ students

9. Sarah scored 18 out of 20 on her maths test. What percentage did she score?

Answer: _______%

🔍 Part 4: Finding the Whole Amount

10. If 20% of a number is 15, what is the whole number?

Answer: _______

11. Tom spent $24, which was 3/8 of his pocket money. How much pocket money did he have altogether?

Answer: $_______

12. In a class, 12 students represent 30% of the total. How many students are in the class?

Answer: _______ students

13. A shop sold 45 items, which was 75% of their stock. How many items did they have originally?

Answer: _______ items

🏪 Part 5: Real-World Applications

14. A jacket costs $80. During a sale, it's reduced by 25%. What is the sale price?

Sale price: $_______

15. A recipe calls for 2.5 cups of flour. If you want to make 0.6 of the recipe, how much flour do you need?

Answer: _______ cups

16. Match each fraction with its equivalent decimal and percentage:
1. 1/4
2. 1/2
3. 3/4
4. 1/5
A. 0.5 and 50%
B. 0.25 and 25%
C. 0.75 and 75%
D. 0.2 and 20%

✍️ Part 6: Problem Solving

17. Explain in your own words how to convert a fraction to a percentage:
18. A pizza is cut into 8 equal slices. If 5 slices are eaten, what fraction, decimal, and percentage of the pizza remains?

Fraction remaining: _______

Decimal remaining: _______

Percentage remaining: _______%

19. Create your own word problem involving finding a percentage of a whole number:
20. Solve your problem from question 19:

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