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Fractions Decimals Percentages Conversion

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Fractions Decimals Percentages Conversion worksheet preview
Fractions Decimals Percentages Conversion

Fractions Decimals Percentages Conversion

Fractions, decimals and percentages conversion chart

🔢 Part 1: Basic Conversions

1. Convert these simple fractions to decimals and percentages:

a) 1/2 = _______ = _______%

b) 1/4 = _______ = _______%

c) 3/4 = _______ = _______%

d) 1/10 = _______ = _______%

2. Circle the equivalent forms for 1/2:

0.5 and 50%

0.2 and 20%

0.25 and 25%

0.75 and 75%

📊 Part 2: Medium Level Conversions

3. Convert these fractions to decimals (show your working):

a) 3/8 =

b) 7/10 =

c) 2/5 =

4. Now convert your answers from question 3 to percentages:

a) 3/8 = _______%

b) 7/10 = _______%

c) 2/5 = _______%

🧮 Part 3: Advanced Conversions

5. Convert these improper fractions and mixed numbers:

a) 5/4 = _______ = _______%

b) 1 1/2 = _______ = _______%

c) 9/5 = _______ = _______%

6. Check all the fractions that are equivalent to 0.6:

3/5

6/10

12/20

2/3

60/100

🛍️ Part 4: Real-World Problems

7. A shop has a 25% off sale. If a jumper costs $80, what is the sale price?

25% = _______ (as a decimal)

Discount amount = $80 × _______ = $______

Sale price = $80 - $______ = $______

8. In a class of 20 students, 3/4 passed their maths test. How many students passed?

3/4 = _______ = _______%

Number of students who passed = ______ students

9. A recipe calls for 0.75 litres of milk. Express this as a fraction and percentage:

0.75 = _______ (as a fraction in simplest form)

0.75 = _______%

🎯 Part 5: Ordering and Comparing

10. Order these values from smallest to largest:

0.3, 2/5, 45%, 1/4, 0.6

Smallest: ______ → ______ → ______ → ______ → ______ :Largest

11. Match each fraction with its decimal and percentage equivalent:
1. 1/5
2. 3/10
3. 7/20
A. 0.3 and 30%
B. 0.35 and 35%
C. 0.2 and 20%

💭 Part 6: Explain Your Thinking

12. Explain in your own words how to convert a fraction to a percentage:
13. Why does multiplying a decimal by 100 give you a percentage? Use an example to explain:

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