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Improper Algebraic Fractions (Edexcel A Level Maths: Pure)
Revision Note
Improper Algebraic Fractions
What are top-heavy (improper) rational expressions (or algebraic fractions)?
- The degree of the numerator is greater than or equal to the degree of the denominator
How do I simplify top-heavy rational expressions?
- Write as a quotient and a remainder
- The algebraic equivalent of changing a top-heavy fraction to a mixed number
Examiner Tip
Remember that simple cases are sometimes the hardest to spot! 
Worked example
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