How do you divide fractions? Show your work for (18)/(4) / (2)/(12).

The reciprocal of $\frac{2}{12}$ is $\frac{12}{2}$.

$$\frac{18}{4} \div \frac{2}{12} = \frac{18}{4} \times \frac{12}{2}$$

We can simplify 18 and 2 by dividing both by 2.
We can simplify 12 and 4 by dividing both by 4.

$$\frac{18^{\div 2}}{4} \times \frac{12}{2^{\div 2}} = \frac{9}{4} \times \frac{12}{1}$$

Now, simplify 12 and 4:

$$\frac{9}{4^{\div 4}} \times \frac{12^{\div 4}}{1} = \frac{9}{1} \times \frac{3}{1}$$

$$\frac{9}{1} \times \frac{3}{1} = \frac{9 \times 3}{1 \times 1} = \frac{27}{1} = 27$$

The final answer is $\text{27}$.