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Algebraic Fractions Operations

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Algebraic Fractions Operations

Algebraic fractions illustration

🎯 WALT (We Are Learning To)

Add, subtract, multiply, and divide algebraic fractions with numeric denominators

📋 Success Criteria

✓ I can perform operations on algebraic fractions accurately
✓ I can explain my working using fraction operation strategies
✓ I can simplify my answers where possible

📚 Part 1: Addition and Subtraction

1. Calculate: 3x/5 + 2x/5

Answer: _____________

2. Calculate: 7a/8 - 3a/8

Answer: _____________

3. Calculate: 2y/3 + 5y/6 (Hint: Find a common denominator)

Answer: _____________

4. Which operation would you use first when calculating 4m/9 - m/3?

Subtract the numerators directly

Find a common denominator

Multiply the fractions

Simplify each fraction first

✏️ Part 2: Multiplication and Division

5. Calculate: 2x/3 × 4/5

Answer: _____________

6. Calculate: 6y/7 ÷ 2/3 (Remember: multiply by the reciprocal)

Answer: _____________

7. A water tank fills at a rate of 3x/4 litres per minute. How many litres fill the tank in 2/3 of a minute?

Answer: _____________ litres

8. Extension Challenge: Simplify completely: (4a/6) × (9/8a)

Answer: _____________

🤔 Reflection

9. Explain in your own words: Why do we need a common denominator when adding fractions but not when multiplying them?
10. One thing I understood well today:
11. One question I still have:

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