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# Part 1 – Adding and subtracting fractions

Teacher resources for Part 1

Links to past exam and UKMT questions

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# Part 2 – Multiplying fractions

Teacher resources for Part 2

Links to past exam and UKMT questions

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Interactive GeoGebra activity: multiplying fractions ≤ 1

- Consider \(\frac{4}{4} \times \frac{1}{3}\). This is equivalent to \(1 \times \frac{1}{3}\) so we would expect the product to be \(\frac{1}{3}\), as shown in the applet’s initial configuration.
- Tick the box to show the vertical splits.
- Start reducing the numerator of the first fraction while holding everything else constant for a visualisation of \(\frac{3}{4} \times \frac{1}{3}, \frac{2}{4} \times \frac{1}{3},\) and \( \frac{1}{4} \times \frac{1}{3}\).
- Continue to play around with this applet!

# Part 3 – Dividing fractions

Teacher resources for Part 3

Links to past exam and UKMT questions

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In the real world

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What next?

- N10a – Converting terminating decimals into fractions and vice versa
- N10b – Converting recurring decimals into fractions and vice versa
- N11a – Identifying and working with fractions in ratio problems
- N12a – Interpreting fractions and percentages as operators
- A4g – Adding and subtracting algebraic fractions
- A4h – Multiplying and dividing algebraic fractions
- R3a – Expressing one quantity as a fraction of another
- P8a – Tree diagrams