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Year 8 / Mathematics / Term 1 / Weeks 05 06 / Supplements

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Choose a useful cancellationYear 8 Maths · T1 W5–6 · S08

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Calculate (8/15) × (25/12) exactly. Show a method that simplifies factors before multiplying. Explain why the same cancellation cannot be applied to (8 + 25)/(15 + 12).

Check: cancel 8/12 to 2/3 and 25/15 to 5/3, giving 10/9. The second expression is 33/27 = 11/9, a different value; sums are not products of those factors.