Fractions: Conversion and Operations

Name:

Date:

$Pizza slices and fraction circles$

📚 Part 1: Understanding Fractions (Must Do)

1. Circle the correct type for each fraction:

a) 3/4 is a: proper fraction / improper fraction / mixed number

b) 2 1/3 is a: proper fraction / improper fraction / mixed number

c) 9/5 is a: proper fraction / improper fraction / mixed number

2. Convert these improper fractions to mixed numbers:

a) 7/4 = _______

b) 11/3 = _______

c) 15/8 = _______

3. Convert these mixed numbers to improper fractions:

a) 2 1/5 = _______

b) 3 2/7 = _______

c) 1 4/9 = _______

4. Pizza Problem: Sarah has 9 quarter-slices of pizza. Write this amount as both an improper fraction and a mixed number.

Improper fraction: _______

Mixed number: _______

✏️ Part 2: Adding and Subtracting Fractions (Could Do)

5. Add these fractions with the same denominator:

a) 2/7 + 3/7 = _______

b) 1/5 + 3/5 = _______

c) 4/9 + 7/9 = _______ (Convert your answer to a mixed number)

6. Subtract these fractions:

a) 5/8 - 2/8 = _______

b) 7/6 - 3/6 = _______

c) 11/5 - 6/5 = _______ (Convert your answer to a mixed number)

7. Real-world application: Tom ran 3/4 kilometres in the morning and 2/4 kilometres in the afternoon. How far did he run in total?

8. (Should Do) Add these fractions with related denominators using equivalent fractions:

a) 1/2 + 1/4 = _______

b) 2/3 + 1/6 = _______

🌟 Part 3: Extension Activities

9. Challenge Problem: A recipe calls for 1 2/3 cups of flour. If you want to make 1 1/2 times the recipe, how much flour will you need? Show your working.

10. Explain your reasoning: Why do we only add the numerators when adding fractions with the same denominator? Use an example with pizza slices to justify your answer.

11. Create your own problem: Write a real-world problem that requires converting a mixed number to an improper fraction and then adding another fraction. Solve it completely.