To evaluate \( \frac{3}{2} \div \frac{3}{4} \), you can rewrite the division of fractions as multiplication by the reciprocal. This means you can multiply \( \frac{3}{2} \) by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \).
So, we rewrite the expression:
\[ \frac{3}{2} \div \frac{3}{4} = \frac{3}{2} \times \frac{4}{3} \]
Next, we can multiply the fractions:
\[ = \frac{3 \times 4}{2 \times 3} \]
Now, simplify the expression before multiplying:
\[ = \frac{12}{6} \]
Now, simplify \( \frac{12}{6} \):
\[ = 2 \]
Thus, the answer is:
\[ \boxed{2} \]
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