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Mixed Numbers and Improper Fractions

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Mixed Numbers and Improper Fractions

Mixed Numbers and Improper Fractions

Fractions and cooking illustration

🍰 Part 1: Identifying Mixed Numbers and Improper Fractions

1. Circle the mixed numbers:

2 1/3

5/4

1 2/5

7/3

3 1/2

2. Circle the improper fractions:

9/4

2 3/4

11/5

1 1/8

8/3

3. A recipe calls for 2 1/4 cups of flour. What type of number is this?

Mixed number

Improper fraction

Whole number

🔄 Part 2: Converting Mixed Numbers to Improper Fractions

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

a) 1 1/2 = _______

b) 2 1/4 = _______

c) 3 2/3 = _______

d) 1 3/5 = _______

5. Fill in the missing steps for converting 2 3/4 to an improper fraction:

Step 1: Multiply the whole number by the denominator: 2 × _____ = _____

Step 2: Add the numerator: _____ + 3 = _____

Step 3: Write as improper fraction: _____/4

🔄 Part 3: Converting Improper Fractions to Mixed Numbers

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

a) 7/3 = _______

b) 9/4 = _______

c) 11/5 = _______

d) 13/6 = _______

7. Match each improper fraction with its mixed number equivalent:
1. 5/2
2. 7/4
3. 8/3
4. 9/5
A. 1 3/4
B. 2 2/3
C. 2 1/2
D. 1 4/5

🍳 Part 4: Real-World Applications

8. Sarah is making anzac biscuits. Her recipe needs 1 3/4 cups of oats. Write this as an improper fraction:
9. A pizza is cut into 8 equal slices. If Tom eats 11 slices from multiple pizzas, write this as a mixed number:
10. Complete the number line by filling in the missing mixed numbers and improper fractions:

Draw marks and label the number line from 1 to 3, showing both mixed numbers and improper fractions:

11. Explain in your own words the difference between a mixed number and an improper fraction:

🌟 Part 5: Challenge Questions

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

2 1/3 or 7/4

2 1/3 is larger

7/4 is larger

They are equal

Explanation:

13. Create your own conversion problems:

a) Write a mixed number with denominator 6: ____________

b) Convert your mixed number to an improper fraction: ____________

c) Write an improper fraction with denominator 8: ____________

d) Convert your improper fraction to a mixed number: ____________

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