Year 6 - Maths
Explain how to convert percentages to decimals and fractions with 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 percentages to decimals and fractions with a denominator of 100.
Key Notes
- Percentages can be written as fractions with a denominator of 100
- Percentages can be written as decimal numbers.
- Percentages that are multiples of 10 are usually written to one decimal place (e.g. 90% is equal to 0.9)
Vocabulary To Learn
- 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 make mistakes when writing single-digit percentages as a decimal number (e.g. 3%).
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Percentages can be written as fractions with a denominator of 100. Percentages can be written as decimal numbers.
2. Use this key word in a maths sentence and explain it clearly. 'Percent'
Percent means the number of parts in each hundred. 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 make mistakes when writing single-digit percentages as a decimal number (e.g. 3%). Correction: Remind pupils that percentages are recorded as hundredths. Where is the hundredths column in a decimal number? Writing measurements where one unit is a hundredth of another (e.g. number of pence as a percentage of a pound) may help reinforce this.
More Lessons In This Unit
- Explain how to convert a percentage to a fraction without 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.