To determine the distance that Kevin walked each minute, you can calculate his speed, which is distance divided by time.
In this case, the distance he walked is \( \frac{3}{4} \) mile, and the time taken is 12 minutes.
The expression to find the distance he walked each minute (which is the speed) is:
\[ \text{Speed} = \frac{\text{Distance}}{\text{Time}} = \frac{\frac{3}{4} \text{ mile}}{12 \text{ minutes}} \]
This can be simplified as:
\[ \frac{3}{4} \div 12 \]
This is equivalent to the expression:
\[ \frac{3}{4} \div 12 \]
Thus, the correct choice from the options is:
Three-fourths divided by 12.