Mastering Mixed Improper Fractions

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Date:

$Mixed and improper fractions illustration$

🎯 WALT: We Are Learning To convert between mixed numbers and improper fractions

Success Criteria:

✓ I can identify numerators and denominators
✓ I can convert mixed numbers to improper fractions
✓ I can convert improper fractions to mixed numbers
✓ I can find equivalent fractions

Part 1: Identifying Parts of Fractions

1. In the fraction 3/7, which number is the numerator?

2. Convert 2 3/4 to an improper fraction:

9/4

11/4

8/4

3. Convert 15/4 to a mixed number:

3 3/4

4 1/4

2 7/4

4. Which fractions are equivalent to 1/2? (Tick all that apply)

2/4

3/6

4/7

5/10

Part 2: Problem Solving & Working

5. Sarah ate 1 3/8 pizzas on Monday and 2 1/4 pizzas on Tuesday. How many pizzas did she eat altogether? Show your working by first converting to improper fractions.

Answer: _____________ pizzas

6. Convert these mixed numbers to improper fractions:

a) 4 2/3 = _____________

b) 1 5/8 = _____________

c) 3 1/2 = _____________

7. Convert these improper fractions to mixed numbers:

a) 17/5 = _____________

b) 23/7 = _____________

c) 19/4 = _____________

8. A recipe calls for 2 3/4 cups of flour. Tom has already used 1 1/2 cups. How much more flour does he need? Convert your answer to both an improper fraction and a mixed number.

Improper fraction: _____________

Mixed number: _____________

🌟 Extension Activities for Advanced Learners

9. Challenge: A builder needs 4 5/6 metres of timber. The timber yard only sells pieces that are 3/2 metres long. How many pieces will the builder need to buy? Explain your reasoning.

10. Create your own word problem involving mixed numbers and improper fractions. Then solve it!

Your problem:

Your solution:

11. Extension: Find three different improper fractions that are all equivalent to 2 1/3. Show how you know they are equivalent.