Year 6 - Maths
Explain how to divide a non-unit fraction by a whole number
Multiplication and division of fractions
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will learn how to multiply 2 unit fractions and 2 non-unit fractions. They will learn how to divide a unit fraction and a non-unit fraction by a whole number.
Lesson Summary
You will learn to explain how to divide a non-unit fraction by a whole number.
Key Notes
- Dividing a non-unit fraction by a whole number can be re-written as multiplying by a unit fraction.
- To divide a non-unit fraction by a whole number, you notice the denominator has been multiplied by the whole number.
Vocabulary To Learn
- Represent: To represent something means to show something in a different way.
Common Mistakes To Avoid
- Pupils think the product is only the fraction of the shaded part and not the fraction of the original whole.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Dividing a non-unit fraction by a whole number can be re-written as multiplying by a unit fraction. To divide a non-unit fraction by a whole number, you notice the denominator has been multiplied by the whole number.
2. Use this key word in a maths sentence and explain it clearly. 'Represent'
To represent something means to show something in a different way. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils think the product is only the fraction of the shaded part and not the fraction of the original whole. Correction: Ensure precision in wording when clarifying what the question is asking of each pupil. It is important they recognise how the shaded parts relates back to the original whole each time.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.