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Year 4 - Maths

Express a quantity as a mixed number and an improper fraction

Addition and subtraction of fractions and mixed numbers (within a whole)

Unit Summary

In this unit pupils will make efficient choices about the order they solve an addition and subtraction problem in.

Lesson Summary

You will learn to express a quantity as a mixed number and an improper fraction.

Key Notes

  • A mixed number can be written as an improper fraction of equal value.
  • The generalisation, 'First we multiply the whole number by the denominator then we add the numerator' can help.

Vocabulary To Learn

  • Mixed number: A mixed number is a whole number and a fraction combined. For example, one and a half is a mixed number.
  • Improper fraction: An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

Common Mistakes To Avoid

  • Children may just add the whole number part of the mixed number to the numerator or may forget to add the fractional part of the mixed number.

3 Quick Questions (With Answers)

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

A mixed number can be written as an improper fraction of equal value. The generalisation, 'First we multiply the whole number by the denominator then we add the numerator' can help.

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. For example, one and a half is a mixed number. 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 just add the whole number part of the mixed number to the numerator or may forget to add the fractional part of the mixed number. Correction: Encourage children to check their work using the stem sentence or generalisation developed in the lesson, 'first we multiply the whole number by the denominator, then we add the numerator'.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.