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Improper Algebraic Fractions (Cambridge (CIE) AS Maths) : Revision Note

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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

Top Heavy Rational Expressions Notes Diagram 1, A Level & AS Level Pure Maths Revision Notes

 

How do I simplify top-heavy rational expressions?

Top Heavy Rational Expressions Notes Diagram 2, A Level & AS Level Pure Maths Revision Notes

 

  • Write as a quotient and a remainder

  • The algebraic equivalent of changing a top-heavy fraction to a mixed number

 

Top Heavy Rational Expressions Notes Diagram 3, A Level & AS Level Pure Maths Revision Notes

Examiner Tips and Tricks

Remember that simple cases are sometimes the hardest to spot! 

Top Heavy Rational Expressions Exam Tip Diagram, A Level & AS Level Pure Maths Revision Notes

 

Worked Example

Top Heavy Rational Expressions Example Diagram, A Level & AS Level Pure Maths Revision Notes

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    Paul

    Author: Paul

    Expertise: Maths Content Creator (Previous)

    Paul has taught mathematics for 20 years and has been an examiner for Edexcel for over a decade. GCSE, A level, pure, mechanics, statistics, discrete – if it’s in a Maths exam, Paul will know about it. Paul is a passionate fan of clear and colourful notes with fascinating diagrams.