Witch measurement is the most precise 3/32 in, 3/12 in, 1/12 ft, or 1/36 yd

The most precise measurement is 1/36 yd.

Step-by-step explanation:

In order to compare measurements, you would need to first convert them all to the same form of measurement in order to place them from least to greatest.  Since there are 12 inches per foot and three feet per yard, that would mean there are 36 inches per yard.  Since the first two measurements 3/32 and 3/12 are both in inches, then we just need to convert 1/12 ft and 1/36 yd to inches.  Since there are 12 inches per foot, we can multiply 1/12 x 1/12 to get 1/144 inches.  Likewise, since there are 36 inches per yard, we can multiply 1/36 x 1/36 to get 1/1296 inches.  Looking at our fractions, we see that 1/1296 inches would be the most precise measurement because it is the smallest fraction.  

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