To determine which pairs of fractions are equivalent to \( \frac{2}{9} \), we can cross-multiply and check if the fractions are indeed equal.
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For the pair \( \frac{5}{27} \) and \( \frac{2}{9} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 5 \times 9 = 45 \quad (\text{not equal}) \]
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For the pair \( \frac{12}{54} \) and \( \frac{2}{9} \): \[ 2 \times 54 = 108 \quad \text{and} \quad 12 \times 9 = 108 \quad (\text{equal}) \]
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For the pair \( \frac{6}{27} \) and \( \frac{2}{9} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 6 \times 9 = 54 \quad (\text{equal}) \]
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For the pair \( \frac{12}{45} \) and \( \frac{2}{9} \): \[ 2 \times 45 = 90 \quad \text{and} \quad 12 \times 9 = 108 \quad (\text{not equal}) \]
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For the pair \( \frac{20}{27} \) and \( \frac{2}{9} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 20 \times 9 = 180 \quad (\text{not equal}) \]
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For the pair \( \frac{12}{19} \) and \( \frac{2}{9} \): \[ 2 \times 19 = 38 \quad \text{and} \quad 12 \times 9 = 108 \quad (\text{not equal}) \]
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For the pair \( \frac{6}{27} \) and \( \frac{2}{9} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 6 \times 9 = 54 \quad (\text{equal}) \]
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For the pair \( \frac{1}{254} \) and \( \frac{2}{9} \): \[ 2 \times 254 = 508 \quad \text{and} \quad 1 \times 9 = 9 \quad (\text{not equal}) \]
From the evaluations, we find that the pairs of fractions equivalent to \( \frac{2}{9} \) are:
- \( \frac{12}{54} \)
- \( \frac{6}{27} \)
So, the French equivalent fractions are \( \frac{12}{54} \) and \( \frac{6}{27} \).