Year 6 - Maths
Explain how to multiply two 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 unit fractions.
Key Notes
- When you multiply by a unit fraction you find that fraction of the other factor.
- Multiplication can be represented by the word of.
- One-half multiplied by one-quarter is the same as one half of one-quarter.
- Multiplying by a proper fraction will give a product smaller than the value of the other factor.
Vocabulary To Learn
- Commutative: Commutative law states that you can write the values of a calculation in a different order without changing the calculation; the result is still the same. It applies for addition and multiplication.
Common Mistakes To Avoid
- Pupils procedurally multiply the numerators together and then multiply the denominators together to find the product.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When you multiply by a unit fraction you find that fraction of the other factor. Multiplication can be represented by the word of.
2. Use this key word in a maths sentence and explain it clearly. 'Commutative'
Commutative law states that you can write the values of a calculation in a different order without changing the calculation; the result is still the same. It applies for addition and multiplication. 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 multiply the numerators together and then multiply the denominators together to find the product. Correction: It's important pupils understand the magnitude of the fraction in relation to one another. Encourage pupils to draw images to represent each equation and notice that the magnitude of the product is decreasing in size each time.
More Lessons In This Unit
Browse all guides in the Year 6 Maths guide library.