To find how far the snail moved in yards, let's break down the conversion process step by step.
Firstly, we need to convert the distance from inches to feet. We know that:
[tex]\[ 1 \text{ foot} = 12 \text{ inches} \][/tex]
So, to convert 76 inches to feet, we divide 76 by 12:
[tex]\[ \text{Feet moved} = \frac{76 \text{ inches}}{12 \text{ inches per foot}} = 6.333333333333333 \text{ feet} \][/tex]
Next, we convert feet to yards. We know that:
[tex]\[ 1 \text{ yard} = 3 \text{ feet} \][/tex]
So, to convert 6.333333333333333 feet to yards, we divide 6.333333333333333 by 3:
[tex]\[ \text{Yards moved} = \frac{6.333333333333333 \text{ feet}}{3 \text{ feet per yard}} = 2.111111111111111 \text{ yards} \][/tex]
Now, to write this distance as a mixed number in simplest form, we note that:
[tex]\[ 2.111111111111111 \text{ yards} \][/tex]
is equivalent to:
[tex]\[ 2 \frac{1}{9} \text{ yards} \][/tex]
Therefore, the distance the snail moved over the two-hour period, expressed as a mixed number in simplest form, is:
[tex]\[ \boxed{2 \frac{1}{9} \text{ yards}} \][/tex]
