Improper Fractions - GCSE Maths Definition

Reviewed by: Mark Curtis

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An improper fraction is a type of fraction where the numerator (the top number) is larger than or equal to the denominator (the bottom number). This means that the fraction represents a value greater than or equal to one whole.

For example, in the fraction 9 over 4​, 9 is larger than 4, making it an improper fraction. To convert improper fractions into mixed numbers, which represent whole parts and a smaller proper fraction, you can divide the numerator by the denominator. For 9 over 4​, divide 9 by 4 to get 2 with a remainder of 1, so 9 over 4 ​ converts to 2 1 fourth.

Understanding improper fractions is important for solving problems that involve fractions greater than or equal to one.

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Mark Curtis

Reviewer: Mark Curtis

Expertise: Maths Content Creator

Mark graduated twice from the University of Oxford: once in 2009 with a First in Mathematics, then again in 2013 with a PhD (DPhil) in Mathematics. He has had nine successful years as a secondary school teacher, specialising in A-Level Further Maths and running extension classes for Oxbridge Maths applicants. Alongside his teaching, he has written five internal textbooks, introduced new spiralling school curriculums and trained other Maths teachers through outreach programmes.

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