To determine how many times Jack can fill his bird feeder with 4 pounds of birdseed, given that he uses [tex]\(\frac{1}{3}\)[/tex] of a pound each time, we need to find out how many [tex]\(\frac{1}{3}\)[/tex] pound portions are in 4 pounds.
We can do this by dividing the total amount of birdseed by the amount used per fill:
[tex]\[
4 \div \frac{1}{3}
\][/tex]
Dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of [tex]\(\frac{1}{3}\)[/tex] is 3. So, we perform the following multiplication:
[tex]\[
4 \times 3
\][/tex]
Calculating this, we get:
[tex]\[
4 \times 3 = 12
\][/tex]
Therefore, Jack can fill his bird feeder 12 times with 4 pounds of birdseed.
So, the correct answer is:
d. 12
