Year 7 - Maths
Dividing a whole number by a fraction
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 whole number by a fraction.
Key Notes
- A diagram can help to show the underlying structure.
- The whole number can be split into a number of equal parts equal to the denominator.
- The numerator states how many equal parts are wanted.
- The value of each part is multiplied by the numerator.
Vocabulary To Learn
- Proper fraction: A proper fraction is a fraction where the numerator is less than the denominator
Common Mistakes To Avoid
- Using the unitising method with a remainder, the remainder is not written as a fraction of the unit.
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. The whole number can be split into a number of equal parts equal to the denominator.
2. Use this key word in a maths sentence and explain it clearly. 'Proper fraction'
A proper fraction is a fraction where the numerator is less than the denominator. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Using the unitising method with a remainder, the remainder is not written as a fraction of the unit. Correction: Drawing bar models, ensure that the unit is subdivided so the remainder can be seen as a fraction of the unit.
More Lessons In This Unit
- Checking and securing dividing a fraction by a whole number Study Guide
- 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
- 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.