Year 7 - Maths
Checking and securing dividing a fraction by a whole number
Arithmetic procedures with 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
This unit revisits and secures fraction operations and extends pupil understanding to division of whole numbers by fractions and division of fractions by fractions.
Lesson Summary
You will learn to use the mathematical structures that underpin the division of fractions to divide a fraction by a whole number.
Key Notes
- A diagram can help to show the underlying structure.
- A fraction can be converted to an equivalent fraction.
- Equivalent fractions can make the division easier.
Vocabulary To Learn
- Lowest common multiple: The lowest common multiple is the lowest number that is a multiple of two or more numbers.
Common Mistakes To Avoid
- When dividing a fraction by an integer, some divide the numerator and denominator by the integer.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A diagram can help to show the underlying structure. A fraction can be converted to an equivalent fraction.
2. Use this key word in a maths sentence and explain it clearly. 'Lowest common multiple'
The lowest common multiple is the lowest number that is a multiple of two or more numbers. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When dividing a fraction by an integer, some divide the numerator and denominator by the integer. Correction: Embed the understanding that when dividing by an integer, only the numerator is divided as the number of equal parts remains the same.
More Lessons In This Unit
- Checking understanding of addition and subtraction with fractions Study Guide
- Checking understanding of multiplication with fractions Study Guide
- Deepening understanding of multiplication with fractions Study Guide
- Dividing a fraction by a fraction Study Guide
- Dividing a whole number by a fraction Study Guide
- Priority of operations with positive and negative integers, decimals and fractions Study Guide
- Problem solving with arithmetic procedures involving fractions Study Guide
- Securing understanding of addition and subtraction with fractions Study Guide
- Securing understanding of multiplication with fractions Study Guide
Browse all guides in the Year 7 Maths guide library.