MathematicsFreePrintable

Fractions to Decimals Conversion

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Fractions to Decimals Conversion worksheet preview

Fractions to Decimals Conversion

Fractions and decimals conversion illustration

🎯 Success Criteria

By completing this worksheet, I will:

• Convert fractions to decimals with 80% accuracy

• Convert decimals to fractions with 80% accuracy

• Show my work using division or conversion methods

• Explain my reasoning clearly in writing

📋 Quick Reference Chart

Common Conversions: 1/2 = 0.5 | 1/4 = 0.25 | 3/4 = 0.75 | 1/5 = 0.2 | 1/10 = 0.1

Method: To convert fraction to decimal, divide numerator by denominator

📚 Part 1: Fractions to Decimals

1. Convert 3/4 to a decimal. Show your work:

Answer: 3/4 = _______

2. Convert 2/5 to a decimal. Show your work:

Answer: 2/5 = _______

3. Which decimal equals 1/8?

0.125

0.18

0.8

1.8

4. Convert 7/10 to a decimal:

7/10 = _______

5. Challenge: Convert 5/6 to a decimal (round to 3 decimal places):

Answer: 5/6 ≈ _______

✏️ Part 2: Decimals to Fractions

6. Convert 0.6 to a fraction in simplest form. Show your work:

Answer: 0.6 = _______

7. Convert 0.25 to a fraction in simplest form:

Answer: 0.25 = _______

8. Which fraction equals 0.4?

1/4

2/5

4/10

Both B and C

9. Convert 0.75 to a fraction and explain your steps:
10. Extension: Convert 1.2 to a mixed number:

Answer: 1.2 = _______

11. Real-World Application: A recipe calls for 0.375 cups of sugar. Write this as a fraction in simplest form:

Answer: 0.375 = _______ cups

12. Reflection: Explain in your own words (or prepare to record) how you convert a decimal to a fraction:

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