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Algebraic Fractions Operations
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Algebraic Fractions Operations
🎯 WALT: Add, subtract, multiply, and divide algebraic fractions with numeric denominators
Success Criteria:
✓ I can find common denominators for algebraic fractions
✓ I can multiply and divide algebraic fractions correctly
✓ I can simplify my final answers
✓ I can explain my working clearly
📝 Part 1: Adding and Subtracting Algebraic Fractions
1. Add the following algebraic fractions: 2x/3 + 5/6
2. Subtract: 3a/4 - 1/2
3. Calculate: x/5 + 2x/10
4. Find: 4y/6 - y/3
✖️➗ Part 2: Multiplying and Dividing Algebraic Fractions
5. Multiply: 2x/3 × 5/4
6. Divide: 3a/5 ÷ 2/3
7. Calculate: 4m/7 × 14/8 (Hint: Look for common factors to simplify!)
8. Which operation gives the largest result?
x/2 + x/4
x/2 × x/4
x/2 ÷ x/4
x/2 - x/4
9. Extension Challenge: Simplify completely: 6x/9 × 15/4x (where x ≠ 0)
10. Reflection: Explain in your own words how dividing by a fraction is the same as multiplying by its reciprocal.
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