Year 6 - Maths
Explain how to convert a percentage to a fraction without a denominator of 100
Understanding percentages
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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 explain what percent means and how to represent a percentage in different ways. They will learn how to convert percentages to decimals and fractions and solve conversion problems.
Lesson Summary
You will learn to convert a percentage to a fraction where the denominator is not 100.
Key Notes
- Start by converting each percentage into a fraction with a denominator of 100
- Then, divide the denominator and numerator by a common factor.
- 25% is equal to one-quarter and 75% is equal to three-quarters.
Vocabulary To Learn
- Convert: Convert means to change from one form to another.
- Percent: Percent means the number of parts in each hundred.
- Percentage: A percentage is a proportion of a whole.
Common Mistakes To Avoid
- Pupils may not convert percentages into fractions with denominators of 100 before attempting other conversions.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Start by converting each percentage into a fraction with a denominator of 100. Then, divide the denominator and numerator by a common factor.
2. Use this key word in a maths sentence and explain it clearly. 'Convert'
Convert means to change from one form to another. 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 not convert percentages into fractions with denominators of 100 before attempting other conversions. Correction: Encourage pupils to always write percentages as fractions with denominators of 100 before trying to find other fraction equivalents. Show them how missing this key step can lead to errors.
More Lessons In This Unit
- Explain how to convert percentages to decimals and fractions with a denominator of 100 Study Guide
- Explain how to solve problems where the percentage part and size is known but the whole is unknown Study Guide
- Explain what percent means and represent a percentage in different ways Study Guide
- Solve problems involving percentages in a range of contexts Study Guide
- Solve problems where the known percentage part and size represents a change to the whole Study Guide
- Use knowledge of calculating 50%, 10% and 1% of a number to solve problems in a range of contexts Study Guide
- Use knowledge of calculating any percentage of a number to solve problems in a range of contexts Study Guide
- Use knowledge of calculating common percentages of a number to solve problems in a range of contexts Study Guide
- Use knowledge of fraction-decimal-percentage conversions to solve problems in a range of contexts Study Guide
Browse all guides in the Year 6 Maths guide library.