To determine which pair of fractions are equivalent to \( \frac{2}{9} \), we can cross-multiply or simplify to see if they equal \( \frac{2}{9} \).
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For \( \frac{5}{27} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 5 \times 9 = 45 \quad \text{(not equivalent)} \]
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For \( \frac{12}{54} \): \[ 2 \times 54 = 108 \quad \text{and} \quad 12 \times 9 = 108 \quad \text{(equivalent)} \]
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For \( \frac{6}{27} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 6 \times 9 = 54 \quad \text{(equivalent)} \]
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For \( \frac{20}{27} \): \[ 2 \times 27 = 54 \quad \text{and} \quad 20 \times 9 = 180 \quad \text{(not equivalent)} \]
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For \( \frac{12}{19} \): \[ 2 \times 19 = 38 \quad \text{and} \quad 12 \times 9 = 108 \quad \text{(not equivalent)} \]
Thus, the pairs of fractions that are equivalent to \( \frac{2}{9} \) are \( \frac{6}{27} \) and \( \frac{12}{54} \). Therefore, the equivalent fractions are:
\( \frac{6}{27} \) and \( \frac{12}{54} \).