The chef of a pizza place used \( 1 / 3 \) of a package of pepperoni and \( 1 / 6 \) of a package of sausage. How much more pepperoni than sausage did the chef use? Write your answer as a fraction or as a whole or mixed number. \( \square \) packages

To find out how much more pepperoni than sausage the chef used, we start with the fractions given: \( \frac{1}{3} \) of a package of pepperoni and \( \frac{1}{6} \) of a package of sausage. To compare these fractions, we need a common denominator. The least common multiple of 3 and 6 is 6. Converting \( \frac{1}{3} \) to sixths, we have: \[ \frac{1}{3} = \frac{2}{6} \] Now, we subtract the amount of sausage from the amount of pepperoni: \[ \frac{2}{6} - \frac{1}{6} = \frac{1}{6} \] So, the chef used \( \frac{1}{6} \) more packages of pepperoni than sausage. Therefore, the answer is \( \frac{1}{6} \) packages.