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Converting Improper Fractions To Mixed Numbers Worksheet

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Help your students prepare for their Maths GCSE with this free Improper Fractions and Mixed Numbers worksheet of 42 questions and answers

  • Section 1 of the improper fractions and mixed numbers worksheet contains 36 skills based improper fractions and mixed numbers questions, in 3 groups to support differentiation
  • Section 2 contains 3 applied improper fractions and mixed numbers questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 3 foundation and higher level GCSE exam style improper fractions and mixed numbers questions 
  • Answers and a mark scheme for all improper fractions and mixed numbers questions
  • Follows variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

Download your free resource today

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Converting improper fractions to mixed numbers at a glance

 

A proper fraction is one where the numerator is smaller than the denominator. A mixed number (sometimes called a mixed fraction) has both a whole number part and a proper fraction part. An improper fraction is one where the numerator is larger than the denominator ; they are informally known as top-heavy fractions. 

 

In order to carry out fraction arithmetic it is useful to be able to convert a mixed number to an improper fraction, and vice versa. For example, to convert 2 and a fifth into an improper fraction we have to write the whole number 2 in fifths. We know that 5 fifths make a whole, so 10 fifths will make 2 whole numbers. Adding 10 fifths to 1 fifth we get 11 fifths, so 2 and the mixed number 2 and a fifth is equivalent to the improper fraction of 11 fifths. 

 

In order to convert an improper fraction to a mixed number we need to divide the numerator by the denominator. For example, to convert 7 quarters from an improper fraction to a mixed number, we need to divide 7 by 4. 4 goes into 7 once leaving a remainder of 3 quarters. So the improper fraction of 7 quarters is equivalent to the mixed number 1 and 3 quarters.

 

Looking forward, students can then progress to additional number worksheets, for example a percentage worksheet or a rounding worksheet.

 

 

For more teaching and learning support on Number our GCSE maths lessons provide step by step support for all GCSE maths concepts.

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