A LevelMathsOCRMaths APureRevision NotesAlgebra & FunctionsRational ExpressionsImproper Algebraic Fractions

Improper Algebraic Fractions (OCR A Level Maths A): Revision Note

Exam code: H240

Paul

Author

Paul

Last updated

OCR Maths A: PureCambridge (CIE) Maths: Pure 3AQA Maths: PureEdexcel Maths: Pure

Did this video help you?

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
👀 You've read 0 of your 5 free revision notes this week
An illustration of students holding their exam resultsUnlock more revision notes. It's free!

By signing up you agree to our Terms and Privacy Policy.

Already have an account? Log in

Test yourself

Did this page help you?

Previous:Rational ExpressionsNext:Sketching Polynomials
Paul

Author: Paul

Expertise: Maths Content Creator

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.

Download notes on Improper Algebraic Fractions