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Fraction Decimal Percentage Conversions

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Fraction Decimal Percentage Conversions

Fraction decimal percentage conversion illustration

🎯 WALT: Convert between fractions, decimals, and percentages

Success Criteria:

✓ I can convert proper, improper, and mixed fractions into decimals and percentages

✓ I can explain my problem-solving process in words

✓ I can solve word problems involving conversions

📚 Part 1: Basic Conversions

1. Convert these fractions to decimals and percentages:

a) 1/2 = _______ (decimal) = _______% (percentage)

b) 3/4 = _______ (decimal) = _______% (percentage)

c) 7/10 = _______ (decimal) = _______% (percentage)

2. Convert these improper fractions to mixed numbers, then to decimals and percentages:

a) 7/4 = _______ (mixed number) = _______ (decimal) = _______% (percentage)

b) 9/5 = _______ (mixed number) = _______ (decimal) = _______% (percentage)

3. Order these numbers from smallest to largest:

0.6, 55%, 3/5, 0.58

Answer: _______, _______, _______, _______

✏️ Part 2: Word Problems

4. Sarah ate 3/8 of a pizza. What percentage of the pizza did she eat? Show your working and explain your answer.
5. A recipe calls for 1 1/4 cups of flour. Express this as a decimal and as a percentage of 2 cups. Explain your reasoning.
6. On a farm there are 24 animals, 45% are sheep and 2/5 are cows. What fraction of the animals is neither sheep or cows according to these numbers? Explain what this might represent.

🌟 Extension Challenge

7. Convert 5/6 to a decimal (to 3 decimal places) and percentage. Then explain whether 5/6 is closer to 80% or 85%.
8. Create your own word problem that involves converting between fractions, decimals, and percentages. Then solve it.

Your problem:

Your solution:

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