Simplifying Algebraic Fractions
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Simplifying Algebraic Fractions
📚 Part 1: Understanding Algebraic Fractions
🔢 Part 2: Basic Simplification
a) (6x)/12 = ___________
b) (15y)/25 = ___________
c) (8x²)/16x = ___________
d) (21a)/14 = ___________
Step 1: Factor the numerator: 4x + 8 = _______(x + ____)
Step 2: Rewrite the fraction: _______(x + ____)/12
Step 3: Simplify: ___________
⚠️ Part 3: Common Mistakes
a) Incorrect: (x + 3)/6 = x/2 + 1/2
Error: _________________________________________________
Correct answer: ___________
b) Incorrect: (2x + 4)/2 = x + 4
Error: _________________________________________________
Correct answer: ___________
Explain your answer: _________________________________________________
🧮 Part 4: Advanced Simplification
a) (3x - 15)/9
b) (5x² - 10x)/5x
c) (6y + 18)/12
d) (4a² - 8a)/16
🔄 Part 5: Operations with Algebraic Fractions
a) x/4 + 3x/4 = ___________
b) (2y)/6 + (4y)/6 = ___________
a) (5x)/8 - (3x)/8 = ___________
b) (7a)/10 - (2a)/10 = ___________
💭 Part 6: Reflection and Problem Solving
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