To evaluate \( \frac{3}{2} \div \frac{3}{4} \), you can multiply by the reciprocal of the second fraction.
The reciprocal of \( \frac{3}{4} \) is \( \frac{4}{3} \).
So, the expression becomes:
\[ \frac{3}{2} \times \frac{4}{3} \]
Now, multiply the numerators and the denominators:
\[ \frac{3 \times 4}{2 \times 3} = \frac{12}{6} \]
Next, simplify \( \frac{12}{6} \):
\[ \frac{12}{6} = 2 \]
Therefore, the final answer is:
\[ \boxed{2} \]
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