To determine which of the provided ratios is equivalent to \( \frac{3}{2} \), we can compare each option by simplifying or cross-multiplying as needed.
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Option 1: \( 1 \)
- \( 1 \) can be written as \( \frac{1}{1} \).
- Cross-multiplying: \( 3 \times 1 = 3 \) and \( 2 \times 1 = 2 \)
- Since \( 3 \neq 2 \), this is not equivalent.
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Option 2: \( \frac{9}{4} \)
- Cross-multiplying: \( 3 \times 4 = 12 \) and \( 2 \times 9 = 18 \)
- Since \( 12 \neq 18 \), this is not equivalent.
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Option 3: \( \frac{2}{3} \)
- Cross-multiplying: \( 3 \times 2 = 6 \) and \( 2 \times 3 = 6 \)
- Since \( 6 \neq 6 \), this is not equivalent.
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Option 4: \( \frac{9}{6} \)
- Simplifying \( \frac{9}{6} \) gives \( \frac{3}{2} \) (since \( 9 \div 3 = 3 \) and \( 6 \div 3 = 2 \)).
- Therefore, this is equivalent to \( \frac{3}{2} \).
The correct answer is \( \frac{9}{6} \).