Question

Evaluate 3/2 divided 3/4 by and simplify your answer completely.

Answer 1

To evaluate \( \frac{3}{2} \div \frac{3}{4} \), we can use the rule that dividing by a fraction is the same as multiplying by its reciprocal.

First, we find the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \).

Now we can rewrite the division as multiplication:

\[
\frac{3}{2} \div \frac{3}{4} = \frac{3}{2} \times \frac{4}{3}
\]

Next, we multiply the fractions:

\[
\frac{3 \times 4}{2 \times 3} = \frac{12}{6}
\]

Now we can simplify \( \frac{12}{6} \):

\[
\frac{12}{6} = 2
\]

Thus, the final answer is:

\[
\boxed{2}
\]