Explanation

1. We are given that 1/2 inch is equal to 12 kilometers.

2. We want to find the distance in kilometers for 5-2/3 inches. First, let's convert the mixed number to an improper fraction:

5-2/3 = 17/3 inches

3. Now, let's set up a proportion using the given conversion factor:

(1/2 inch) / 12 km = (17/3 inches) / x km

4. We can then cross-multiply and solve for x:

(1/2) × x = (17/3) × 12
x = (17/3) × 12 / (1/2)
x = (17/3) × 24
x = 136 km
So, the distance in kilometers is 136 km.