Answer :
To find out how many times Jack needs to use a one-eighth teaspoon to measure 6 teaspoons of vanilla extract, we need to perform a simple calculation.
Since Jack has a one-eighth teaspoon, it means he needs to use it 8 times to make 1 teaspoon (as 8 * one-eighth teaspoon = 1 teaspoon).
Now, to measure 6 teaspoons of vanilla extract, he would need to use this one-eighth teaspoon 6 times 8 times, which equals 48.
Therefore, Jack needs to use the one-eighth teaspoon 48 times to measure 6 teaspoons of vanilla extract. So the answer is 48.