Year 6 - Maths
Explain how to multiply two non-unit fractions
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 multiply two non-unit fractions.
Key Notes
- An area model can represent multiplication of two non-unit fractions.
- When you multiply two fractions you can multiply the numerators and multiply the denominators.
- A fraction is in its simplest form when there is no common factor of the numerator and the denominator.
Vocabulary To Learn
- Represent: To represent something means to show something in a different way.
Common Mistakes To Avoid
- Pupils procedurally multliply the denominators and add the numerators, or vice versa. Pupils may also only mutliply the denominators and not the numerators or again vice versa.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
An area model can represent multiplication of two non-unit fractions. When you multiply two fractions you can multiply the numerators and multiply the denominators.
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 procedurally multliply the denominators and add the numerators, or vice versa. Pupils may also only mutliply the denominators and not the numerators or again vice versa. Correction: Ensure pupils connect the area model to the equations and continue to visualise the magnitude of each fraction. Often mistakes are made when pupils follow a procedure with little awareness for whether their answer makes sense mathematically.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.