Improper Algebraic Fractions (Cambridge International AS Mathematics)

Top Heavy Rational Expressions

Improper algebraic fractions

What are improper algebraic fractions?

• The degree of the numerator is greater than or equal to the degree of the denominator

How do I simplify improper algebraic fractions?

• Write as a quotient and a remainder
• The algebraic equivalent of changing a top-heavy fraction to a mixed number

Exam Hint Remember that simple cases are sometimes the hardest to spot!

Worked Example