Year 5 - Maths
Solve problems involving multiplication of mixed numbers by a whole number
Multiply improper fractions and mixed numbers by a whole number
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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 multiply an improper fraction and a mixed number by a whole number.
Lesson Summary
You will learn to solve problems by multiplying fractions (proper and improper) and mixed numbers by a whole number.
Key Notes
- Partition the mixed number into a whole number and a fraction.
- Multiply the whole number part by the whole number factor.
- Multiply the fraction by the whole number using unitising language.
Vocabulary To Learn
- Represent: To represent something means to show something in a different way.
- Estimate: We can estimate to find a value that is close enough to the right answer, usually with some thought or calculation involved.
- Mixed number: A whole number and a fraction can be combined to form a mixed number.
- Improper fraction: An improper fraction is a fraction where the numerator is greater than the denominator.
Common Mistakes To Avoid
- Pupils may underestimate the product for example where the fractional part, when multiplied by an integer bridges over a whole.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Partition the mixed number into a whole number and a fraction. Multiply the whole number part by the whole number factor.
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 may underestimate the product for example where the fractional part, when multiplied by an integer bridges over a whole. Correction: Encourage pupils to look at the size of the fraction each time and ask whether it will bridge a whole or not and add that onto the estimate of the whole number multiplied by the integer.
More Lessons In This Unit
Browse all guides in the Year 5 Maths guide library.