Year 7 - Maths
Securing understanding of multiplication with fractions
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 multiply unit, non-unit and improper fractions.
Key Notes
- When multiplying you multiply the numerators together and the denominators together.
- Any value can be written as a fraction with one as the denominator.
- You can use equivalent fractions to be more efficient.
Vocabulary To Learn
- Product: A product is the result of two or more numbers multiplied together.
- Commutative: An operation is commutative if the values it is operating on can be written in either order without changing the calculation.
- Prime factors: Prime factors are the factors of a number that are, themselves, prime.
Common Mistakes To Avoid
- When multiplying a fraction by an integer multiplying 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.
When multiplying you multiply the numerators together and the denominators together. Any value can be written as a fraction with one as the denominator.
2. Use this key word in a maths sentence and explain it clearly. 'Product'
A product is the result of two or more numbers multiplied together. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: When multiplying a fraction by an integer multiplying the numerator and denominator by the integer. Correction: If they do this they will have effectively multiplied by 1. Use an example to show you end up with the same fraction that you started with.
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
- 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
Browse all guides in the Year 7 Maths guide library.