Question

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

Answer 1

To evaluate the expression \( \frac{3}{2} \div \frac{3}{4} \), you can multiply by the reciprocal of the second fraction. Here are the steps:

1. Write the expression:
\[
\frac{3}{2} \div \frac{3}{4}
\]

2. Multiply by the reciprocal of \( \frac{3}{4} \):
\[
\frac{3}{2} \times \frac{4}{3}
\]

3. Multiply the numerators and the denominators:
\[
\frac{3 \times 4}{2 \times 3} = \frac{12}{6}
\]

4. Simplify \( \frac{12}{6} \) by dividing both the numerator and the denominator by 6:
\[
\frac{12 \div 6}{6 \div 6} = \frac{2}{1} = 2
\]

Thus, the final simplified answer is:
\[
\boxed{2}
\]