MathematicsFreePrintable

Comparing Decimals and Fractions

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Comparing Decimals and Fractions

Decimal and fraction comparison illustration

🎯 Learning Goals

I can...

• Compare decimals and fractions by converting between forms

• Order decimals and fractions from least to greatest

• Create equivalent decimals and fractions

Success Criteria:

✓ I can rewrite decimals as fractions

✓ I can compare values using <, >, or =

✓ I can explain my reasoning clearly

📊 Part 1: Converting and Comparing

1. Rewrite each decimal as a fraction in simplest form:

a) 0.6 = _______

b) 0.25 = _______

c) 0.8 = _______

2. Compare using <, >, or =:

a) 0.7 _____ 3/4

b) 1/2 _____ 0.5

c) 0.4 _____ 2/5

3. Which decimal is equivalent to 3/5?

0.3

0.6

0.35

0.53

4. Order from least to greatest: 0.3, 1/4, 0.35, 2/5
5. Circle all values equal to 0.75:

3/4

6/8

75/100

7/5

🚀 Part 2: Problem Solving & Extension

6. Sarah ran 0.8 miles and Jake ran 4/5 miles. Who ran farther? Explain your reasoning.
7. Extension Challenge: Create three different fractions that are all equivalent to 0.4. Show your work.
8. A recipe calls for 0.75 cups of flour. If you only have a measuring cup marked in fractions, what fraction would you use?
9. Advanced: Place these values on a number line and explain your strategy: 1/3, 0.4, 3/8, 0.35

Strategy: ________________________________________________

💡 Reflection & Support

10. What strategy helps you compare decimals and fractions? Circle your preferred method:

Convert everything to decimals

Convert everything to fractions

Use visual models (grids/strips)

Find common denominators

Differentiation Support:

🔍 Need help? Use the decimal grids and fraction strips provided by your teacher

Ready for more? Try comparing three-digit decimals with mixed numbers

👁️ Dyslexia-friendly tip: Cover other problems while working on one at a time

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