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Fractions to Percentages Conversion

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Fractions to Percentages Conversion

Fractions to Percentages Conversion

Fractions and percentages illustration

📊 Part 1: Converting Fractions to Percentages

1. Convert these fractions to percentages. Show your working:

a) 1/2 = _______%

b) 1/4 = _______%

c) 3/4 = _______%

d) 1/5 = _______%

2. Circle the correct percentage for each fraction:

2/5 equals:

25%

40%

50%

60%

3/10 equals:

3%

13%

30%

33%

🛍️ Part 2: Finding Percentages of Whole Numbers

3. Calculate the following percentages. Show your working:

a) 25% of 80 = _______

b) 50% of 120 = _______

c) 10% of 90 = _______

d) 75% of 60 = _______

4. Real-world problems:

a) A rugby team won 3/4 of their games this season. What percentage of games did they win? _______

b) In a class of 24 students, 1/3 chose pizza for lunch. How many students chose pizza? _______

c) A shop offers a 20% discount on a jacket that costs $85. How much money will you save? $_______

🎯 Part 3: Visual Representations

5. Draw and shade a 100 square to show 35%:
6. Draw a bar model to represent 2/5 and write the equivalent percentage:

2/5 = _______%

7. Which fractions are equivalent to the given percentages? Tick all that apply:

50% equals:

1/2

2/4

5/10

3/6

🔄 Part 4: Converting Both Ways

8. Fill in the missing values in this conversion table:

Fraction: 1/10 | Percentage: _____%

Fraction: _____ | Percentage: 60%

Fraction: 7/10 | Percentage: _____%

Fraction: _____ | Percentage: 25%

Fraction: 9/10 | Percentage: _____%

9. Match each fraction with its equivalent percentage:
1. 1/8
2. 3/8
3. 5/8
4. 7/8
A. 87.5%
B. 12.5%
C. 62.5%
D. 37.5%
10. Explain in your own words how to convert a fraction to a percentage:

🌟 Extension Challenge

11. For advanced learners - convert these more challenging fractions to percentages:

a) 7/12 = _______% (Round to 1 decimal place)

b) 5/6 = _______% (Round to 1 decimal place)

12. Problem solving:

A school has 180 students. If 2/3 of the students play sport, and 40% of those who play sport play rugby, how many students play rugby?

Answer: _______ students play rugby

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