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Year 4 - Maths

Solve problems involving converting between mixed numbers and improper fractions

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 solve problems involving converting between mixed numbers and improper fractions.

Key Notes

  • Mixed numbers can be converted into improper fractions and vice versa.
  • Times table knowledge can help to convert between mixed numbers and improper fractions.
  • To solve problems comparing amounts with different types of fractions, convert to the same type of fraction.

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 is greater than or equal to the denominator.

Common Mistakes To Avoid

  • Children may make mistakes when using the generalisations if they are unaware of the structure behind them.

3 Quick Questions (With Answers)

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

Mixed numbers can be converted into improper fractions and vice versa. Times table knowledge can help to convert between mixed numbers and improper fractions.

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 generalisations if they are unaware of the structure behind them. Correction: Check your answers using the corresponding stem sentences or by representing the number. Ensure that, when you compare amounts that are presented as different fraction types, you convert to the same fraction type.

More Lessons In This Unit

Browse all guides in the Year 4 Maths guide library.