The answer is: 10.
The explanation for this answer is shown below:
1. To calculate how many [tex]\frac{1}{12}[/tex] pint servings of pecans are in [tex]\frac{5}{6}[/tex] pints of pecans (which you can call [tex]x[/tex]) you only need to divide the fraction [tex]\frac{5}{6}[/tex] by [tex]\frac{1}{12}[/tex].
2. Therefore, keeping this on mind, you can divide both fractions by multiplying the first one by the reciprocal of the second one, as you can see below:
[tex]x=(\frac{5}{6})(12)[/tex]
3. Then, the result is:
[tex]x=10[/tex]