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Question

Write five fractions equivalent to the following:
$$6/11$$

Solution
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$$6 / 11$$

$$6 / 11 = (6 / 11 \times 2 / 2) = (6 / 11 \times 3 / 3) = (6 / 11 \times 4 / 4) = (6 / 11 \times 5 / 5) = (6 / 11 \times 6 / 6)$$

$$\therefore 6 / 11 = 12 / 22 = 18 / 33 = 24 / 44 = 30 / 55 = 36 / 66$$

The five fractions are $$12 / 22, 18 / 33, 24 / 44, 30 / 55$$ and $$36 / 66$$

Hence, the five fractions equivalent to $$6 / 11$$ are $$12 / 22, 18 / 33, 24 / 44, 30 / 55$$ and $$36 / 66$$

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