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Question

Write five fractions equivalent to the following:
$$5/8$$

Solution
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$$5/8$$

$$5 / 8 = (5 / 8 \times 2 / 2) = (5 / 8 \times 3 / 3) = (5 / 8 \times 4 / 4) = (5 / 8 \times 5 / 5) = (5 / 8 \times 6 / 6)$$

$$\therefore 5 / 8 = 10 / 16 = 15 / 24 = 20 / 32 = 25 / 40 = 30 / 48$$

The five fractions are $$10 / 16, 15 / 24, 20 / 32, 25 / 40$$ and $$30 / 48$$

Hence, the five fractions equivalent to $$5 / 8$$ are $$10 / 16, 15 / 24, 20 / 32, 25 / 40$$ and $$30 / 48$$

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