Year 6 - Maths
Explain how to compare non-related fractions finding equivalent fractions with common denominators
Comparing 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 use their fraction sense to explain how to compare pairs of non-related fractions either by converting to common denominators or using fraction knowledge and understanding.
Lesson Summary
You will learn to use equivalent fractions with common denominators to compare non-related fractions.
Key Notes
- You can use knowledge of common multiples to convert fractions to an equivalent with a common denominator.
- Common denominators for non-related fractions can be found using common multiples of the denominators.
- If the denominators are the same, the greater the numerator, the larger the fraction.
- If the denominators are the same, the smaller the numerator, the smaller the fraction.
Vocabulary To Learn
- Portion: A portion is a part of a whole.
- Common denominator: When two or more fractions share the same denominator, you can say they have a common denominator.
- Related fractions: Related fractions are when the denominator of one fraction is a multiple of the denominator of the other fraction.
Common Mistakes To Avoid
- Pupils try to compare fractions where the whole is not the same size.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
You can use knowledge of common multiples to convert fractions to an equivalent with a common denominator. Common denominators for non-related fractions can be found using common multiples of the denominators.
2. Use this key word in a maths sentence and explain it clearly. 'Portion'
A portion is a part of a whole. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils try to compare fractions where the whole is not the same size. Correction: Give an example where fractions represent different sized wholes. Discuss how fractions may not help us compare the area used/shaded if the wholes are different. Instead, highlight the show the relationship between the whole and its part(s).
More Lessons In This Unit
- Explain how to compare pairs of non-related fractions by comparing to a half Study Guide
- Explain how to compare pairs of non-related fractions using fraction sense Study Guide
- Explain which strategy for comparing non-related fractions is most efficient Study Guide
- Order sets of non-related fractions using a range of strategies Study Guide
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