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Fractions and Mixed Numbers

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Fractions and Mixed Numbers worksheet preview

Fractions and Mixed Numbers

Fractions and mixed numbers illustration

🎯 WALT (We Are Learning To)

• Recognise and convert between mixed numbers and improper fractions

• Identify, generate and compare equivalent proper fractions less than 1

• Use correct mathematical language to describe fractions and their relationships

📚 Part 1: Converting Between Mixed Numbers and Improper Fractions

1. Convert these mixed numbers to improper fractions:

a) 2 1/3 = ________

b) 1 3/4 = ________

c) 3 2/5 = ________

2. Convert these improper fractions to mixed numbers:

a) 9/4 = ________

b) 11/3 = ________

c) 17/6 = ________

3. Circle the improper fractions:

3/4

7/5

2/3

9/8

4/9

4. Show your working to convert 2 3/8 to an improper fraction:

✏️ Part 2: Equivalent Fractions

5. Find equivalent fractions by scaling up:

a) 1/2 = __/4 = __/8

b) 2/3 = __/6 = __/9

c) 3/5 = __/10 = __/15

6. Which fraction is equivalent to 4/6?

1/3

2/3

3/4

6/8

7. Order these fractions from smallest to largest:

3/8, 1/2, 5/8, 1/4

Answer: _____ < _____ < _____ < _____

8. Explain how you know that 6/8 and 3/4 are equivalent fractions:

🌟 Extension Challenge

9. A recipe calls for 1 2/3 cups of flour. If you want to make 2 batches, how many cups of flour will you need? Express your answer as both a mixed number and an improper fraction.
10. Find the simplest form of 12/18 and explain your method:

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