Year 5 - Maths
Represent and multiply an improper fraction 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 represent multiplication of an improper fraction using multiplication and repeated addition.
Key Notes
- Multiplication can be represented as repeated addition
- Multiplication can be represented as scaling
- Use the language of unitising '__ groups of __ is equal to __'
Vocabulary To Learn
- Repeated addition: Repeated addition is the process of adding the same equal group to itself multiple times.
- Improper fraction: An improper fraction is a fraction where the numerator is greater than the denominator.
- Represent: To represent something is to show it in a different way.
Common Mistakes To Avoid
- Pupil may multiply both the numerator and the denominator by the integer therefore finding an equivalent fraction.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Multiplication can be represented as repeated addition. Multiplication can be represented as scaling.
2. Use this key word in a maths sentence and explain it clearly. 'Repeated addition'
Repeated addition is the process of adding the same equal group to itself multiple times. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupil may multiply both the numerator and the denominator by the integer therefore finding an equivalent fraction. Correction: Encourage pupils to represent the maths using unitised counters as this will support them to recognise the multiplicand and the multiplier.
More Lessons In This Unit
Browse all guides in the Year 5 Maths guide library.