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Year 4 - Maths

Explain how a mixed number is converted into an improper fraction

Convert improper fractions to mixed numbers and vice versa

Unit Summary

In this unit pupils will express and convert a quantity from an improper fraction to a mixed number and explain how a mixed number is converted into an improper fraction.

Lesson Summary

You will learn to explain how a mixed number is converted into an improper fraction.

Key Notes

  • Times table knowledge can help to convert a mixed number to an improper fraction.
  • Calculate how many of the fraction are needed to equal the value of the whole number.
  • Add the value of the fraction part to the numerator of the fraction equivalent to the whole number part.

Vocabulary To Learn

  • Mixed number: A mixed number is a whole number and a fraction combined.
  • Improper fraction: An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).

Common Mistakes To Avoid

  • Children may make mistakes when using the generalisation if they are unaware of the structure behind it and the reason that we multiply then add.

3 Quick Questions (With Answers)

1. Solve this in steps: explain the method from this lesson and why each step matters.

Times table knowledge can help to convert a mixed number to an improper fraction. Calculate how many of the fraction are needed to equal the value of the whole number.

2. Use this key word in a maths sentence and explain it clearly. 'Mixed number'

A mixed number is a whole number and a fraction combined. Use this word when showing your method, then check your final answer is reasonable.

3. Spot and fix this common maths mistake.

Mistake: Children may make mistakes when using the generalisation if they are unaware of the structure behind it and the reason that we multiply then add. Correction: First multiply the whole number by the denominator then add the numerator. Multiplying the whole number by the denominator tells us the number of parts that can be made from the whole number part then we need to add the parts shown by the numerator.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.