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Improper Fractions Rectangle Models

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Improper Fractions Rectangle Models

Improper Fractions Rectangle Models

Rectangle fraction models illustration

📐 Part 1: Identifying Improper Fractions

1. Look at the shaded rectangles below. Circle the improper fractions:

3/4 (Three quarters of one rectangle shaded)

5/4 (One whole rectangle plus one quarter shaded)

2/3 (Two thirds of one rectangle shaded)

7/5 (One whole rectangle plus two fifths shaded)

2. What makes a fraction an improper fraction? Tick all that apply:

The numerator is larger than the denominator

It represents more than one whole

The denominator is larger than the numerator

It can be converted to a mixed number

🔄 Part 2: Converting Improper Fractions to Mixed Numbers

3. Convert these improper fractions to mixed numbers. Show your working:

a) 9/4 = ___________

b) 11/3 = ___________

c) 13/5 = ___________

4. Draw rectangle models to show 7/3 as a mixed number:

🔄 Part 3: Converting Mixed Numbers to Improper Fractions

5. Convert these mixed numbers to improper fractions. Show your working:

a) 2 1/4 = ___________

b) 1 3/5 = ___________

c) 3 2/3 = ___________

6. Fill in the blanks to complete the conversion formula:

To convert a mixed number to an improper fraction:

Step 1: __________ the whole number by the __________

Step 2: __________ the numerator to this result

Step 3: Keep the same __________

📏 Part 4: Number Line Representation

7. Mark these fractions and mixed numbers on the number line below (draw arrows and label):

5/4, 1 1/2, 7/3, 2 1/4

8. Match the equivalent fractions and mixed numbers:
1. 8/3
2. 9/4
3. 11/5
4. 7/2
A. 2 1/5
B. 3 1/2
C. 2 2/3
D. 2 1/4

🎨 Part 5: Drawing and Problem Solving

9. Draw rectangle models to represent 2 3/4. Then write it as an improper fraction:

2 3/4 = ___________

10. Sarah ate 1 1/3 pizzas. Each pizza was cut into 3 equal slices. How many slices did Sarah eat in total?

Answer: __________ slices

11. Explain in your own words what an improper fraction is and give an example:

🌟 Part 6: Challenge Questions

12. Which is larger? Circle your answer and explain why:

2 1/4

9/4

They are equal

13. Create your own improper fraction that equals 1 2/5:

My improper fraction: ___________

Show how you know it's correct:

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