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Question 11 of 16 in Number 1

Number 1

2 marks · Normal

Explain why and are equal.

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Because simplifies to ; multiplying or dividing numerator and denominator by the same number does not change the value of a fraction.

Also accept: 6 and 10 can both be divided by 2, giving 3/5.

Common mistakes: incorrect or incomplete explanation

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Marking points

B1 · 1 mark · States or shows that both and can be divided by 2.

B2 · 1 mark · States that dividing numerator and denominator by the same number gives an equivalent fraction.

Worked solution

Both 6 and 10 can be divided by 2, giving 3 and 5; so . Dividing numerator and denominator by the same number does not change the value of the fraction.

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