CIE A Level Maths: Pure 3

Revision Notes

1.2.5 Top Heavy Rational Expressions

Test Yourself

Improper Algebraic Fractions

What are top-heavy (improper) rational expressions (or algrbraic 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

Exam Tip

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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