Evaluate 3/2 ÷ 3/4 and simplify your answer completely.

1 answer

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:

\[ \boxed{2} \]