To determine which of the given ratios is equivalent to \( \frac{3}{2} \), we can simplify or compare each option.
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Option: \( \frac{9}{6} \)
- Simplifying \( \frac{9}{6} \): \[ \frac{9 \div 3}{6 \div 3} = \frac{3}{2} \]
- This is equivalent to \( \frac{3}{2} \).
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Option: \( \frac{9}{4} \)
- This ratio does not simplify to \( \frac{3}{2} \).
- \( \frac{9}{4} = 2.25 \) and \( \frac{3}{2} = 1.5 \).
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Option: \( \frac{2}{3} \)
- This ratio does not simplify to \( \frac{3}{2} \).
- \( \frac{2}{3} \) is less than \( 1 \).
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Option: \( 1 \)
- This can be expressed as \( \frac{1}{1} \), which does not equal \( \frac{3}{2} \).
Based on this analysis, the only ratio that is equivalent to \( \frac{3}{2} \) is:
\[ \frac{9}{6} \]