Year 7 - Maths
Converting fractions to recurring decimals
Comparing and ordering fractions and decimals (positive and negative)
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
This unit develops understanding and manipulation of fractions, including conversion between fractions to terminating and recurring decimals. Pupils then learn strategies to order fractions of increasing complexity.
Lesson Summary
You will learn to divide the numerator of a fraction by its denominator and know that this results in an equivalent recurring decimal.
Key Notes
- Dividing the numerator by the denominator may result in an equivalent recurring decimal.
- It can be shown that 1/9, 1/11 and 1/36 have equivalent recurring decimals.
- Using a calculator can help investigate fractions which are equivalent to terminating decimals.
- Using a calculator can help investigate fractions which convert to recurring decimals.
Vocabulary To Learn
- Recurring decimals: A recurring decimal is one that has an infinite number of digits after the decimal point.
Common Mistakes To Avoid
- Converting a fraction to a recurring decimal and then rounding the decimal, gives an accurate answer
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Dividing the numerator by the denominator may result in an equivalent recurring decimal. It can be shown that 1/9, 1/11 and 1/36 have equivalent recurring decimals.
2. Use this key word in a maths sentence and explain it clearly. 'Recurring decimals'
A recurring decimal is one that has an infinite number of digits after the decimal point. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Converting a fraction to a recurring decimal and then rounding the decimal, gives an accurate answer. Correction: The use of fractions is more preferred for accuracy than decimals. e.g 1/3 + 1/3 + 1/3 is not 0.3 + 0.3 + 0.3.
More Lessons In This Unit
- Between numbers Study Guide
- Checking and securing converting improper fractions to mixed numbers Study Guide
- Checking and securing converting mixed numbers to improper fractions Study Guide
- Checking and securing understanding of fractions Study Guide
- Converting fractions to terminating decimals Study Guide
- Converting fractions with technology Study Guide
- Converting terminating decimals to fractions Study Guide
- Limitations of technology in calculations Study Guide
- Ordering decimals Study Guide
- Ordering fractions by converting Study Guide
- Ordering fractions by way of a common denominator Study Guide
- Ordering fractions in different ways Study Guide
- Ordering negative integers Study Guide
- Ordering positive and negative fractions and decimals Study Guide
- Problem solving with fractions and decimals Study Guide
- Simplifying fractions Study Guide
- The identity property of multiplication and division Study Guide
Browse all guides in the Year 7 Maths guide library.