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Fraction Decimal Percentage Conversions

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Fraction Decimal Percentage Conversions

Fraction Decimal Percentage Conversions

Fraction decimal percentage conversion illustration

🔢 Part 1: Basic Conversions

1. Convert these fractions to decimals:

a) 1/2 = _______

b) 1/4 = _______

c) 3/4 = _______

d) 1/10 = _______

2. Convert these decimals to percentages:

a) 0.25 = _______%

b) 0.5 = _______%

c) 0.75 = _______%

d) 0.1 = _______%

3. Convert these percentages to fractions (in simplest form):

a) 50% = _______

b) 25% = _______

c) 75% = _______

d) 10% = _______

🛍️ Part 2: Real-World Applications

4. Shopping Discounts: A shirt costs $40 and is on sale for 30% off. What fraction of the original price do you pay?

Answer: You pay _______ of the original price, which equals $_______ .

5. Sports Statistics: In a cricket match, a batsman scored runs on 0.6 of the balls they faced. What percentage is this?

Answer: _______% of balls faced

6. Cooking Recipe: A recipe calls for 3/8 of a cup of flour. Express this as a decimal and percentage:

Decimal: _______ cups

Percentage: _______%

🎯 Part 3: Multiple Choice Challenge

7. Which decimal is equivalent to 3/5?

0.3

0.6

0.35

0.53

8. What percentage is equivalent to 0.125?

1.25%

12.5%

125%

0.125%

9. Which fraction is equivalent to 60%?

6/10

60/100

3/5

All of the above

🔄 Part 4: Conversion Table Challenge

10. Complete this conversion table:
Fraction Decimal Percentage
1/5 _______ _______
_______ 0.8 _______
_______ _______ 40%
7/10 _______ _______

🧠 Part 5: Problem Solving

11. Challenge Problem: A school has 240 students. If 3/8 of the students play sport, how many students is this? Express your answer as a decimal and percentage too.

Number of students: _______

As a decimal: _______ of students

As a percentage: _______% of students

12. Reflection: Explain in your own words the relationship between fractions, decimals, and percentages. Give an example.
13. Strategy Check: Which method do you find easiest for converting fractions to percentages? Circle your choice and explain why.

Convert fraction to decimal first, then to percentage

Convert fraction directly to percentage

Use a calculator

Use equivalent fractions with denominator 100

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