Number 1

3 marks · Hard

Sam says that is smaller than .

Is Sam correct? Give a reason for your answer.

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No, is equal to ; reason: they are equivalent fractions.

Also accept: No, because simplifies to .

Common mistakes: Assuming fractions with different numbers are not equal; Incorrect simplification

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Marking points

M1 · 1 mark · Attempts to compare the fractions, either by simplifying or cross-multiplying

A1 · 1 mark · Correctly states that is equal to

B1 · 1 mark · Provides a correct reason (e.g., simplified form, or equivalent fractions)

Worked solution

No, Sam is not correct.

Both fractions are equal.