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Improper Fractions to Mixed Numbers

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Improper Fractions to Mixed Numbers worksheet preview

Improper Fractions to Mixed Numbers

Fractions illustration

🎯 I Can Statement & Success Criteria

I can... convert improper fractions to mixed numbers by dividing the numerator by the denominator.

✅ I know I've got it when I can:

1. Identify that the numerator is larger than the denominator in an improper fraction.

2. Divide the numerator by the denominator to find the whole number.

3. Write the remainder as the new numerator over the original denominator.

4. Simplify the fraction part if needed.

📖 How To Convert — Step-by-Step

Example: Convert 11/4 to a mixed number.

Step 1: Divide → 11 ÷ 4 = 2 remainder 3

Step 2: The whole number is 2. The remainder 3 becomes the new numerator.

Step 3: Keep the same denominator → Answer: 2 and 3/4

💡 Tip: Think of it like sharing pizza slices equally among friends!

✏️ Part 1: Convert the Improper Fractions

Directions: Convert each improper fraction to a mixed number. Show your division work in the box provided. Write your answer on the line.

1. Convert 7/2 to a mixed number.

Answer: _____________

2. Convert 9/4 to a mixed number.

Answer: _____________

3. Convert 13/5 to a mixed number.

Answer: _____________

4. Convert 17/3 to a mixed number.

Answer: _____________

5. Convert 22/6 to a mixed number. (Hint: Can you simplify the fraction part?)

Answer: _____________

6. Convert 15/4 to a mixed number.

Answer: _____________

7. Convert 19/6 to a mixed number.

Answer: _____________

8. Convert 25/8 to a mixed number.

Answer: _____________

9. Convert 31/7 to a mixed number.

Answer: _____________

10. Convert 40/9 to a mixed number.

Answer: _____________

🌟 Word Problem Challenge

Directions: Read the problem carefully and show your work.

11. Maya baked cookies and cut them into thirds. She has 20/3 cookies total. How many whole cookies does she have, and what fraction is left over? Write your answer as a mixed number.

Answer: _____________

12. Explain your thinking: In your own words, describe how you convert an improper fraction to a mixed number. Use at least one example.

🚀 Extension Activity (Advanced Learners)

Try this if you finish early!

13. Create your OWN improper fraction with a denominator of 8. Convert it to a mixed number and draw a picture to show what it looks like.

My improper fraction: _______ My mixed number: _______

♿ Differentiation Strategies

For extra support: Use fraction tiles or draw circles divided into equal parts to visualize each problem. A multiplication chart is allowed.

For dyslexia-friendly reading: This worksheet uses larger font spacing, short sentences, and clear step-by-step instructions. Ask your teacher for a printed copy in OpenDyslexic font if needed.

For advanced learners: Complete the Extension Activity above, then try converting your answers back to improper fractions to check your work!

📋 Answer Key — Teacher Use Only

Detach or fold before distributing to students.

1. 7/2 = 3 and 1/2  |  2. 9/4 = 2 and 1/4  |  3. 13/5 = 2 and 3/5

4. 17/3 = 5 and 2/3  |  5. 22/6 = 3 and 2/3 (simplified from 3 and 4/6)  |  6. 15/4 = 3 and 3/4

7. 19/6 = 3 and 1/6  |  8. 25/8 = 3 and 1/8  |  9. 31/7 = 4 and 3/7

10. 40/9 = 4 and 4/9  |  11. 20/3 = 6 and 2/3 cookies

12. Answers will vary — look for: divide numerator by denominator, whole number = quotient, remainder over original denominator = fraction part.

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