Daniel cuts 1 1/2 pies into slices that are 1/8 of a whole pie to serve after dinner. Using your knowledge of dividing and reciprocals, how many slices did Daniel cut?
To find the number of slices, we need to divide the total amount of pie that Daniel has (1 1/2) by the size of each slice (1/8).
First, let's convert 1 1/2 into an improper fraction.
1 1/2 is the same as (2 * 1) + 1/2, which equals 2 + 1/2.
Therefore, 1 1/2 is equal to 3/2 as an improper fraction.
Now, we can divide 3/2 by 1/8.
To do that, we multiply 3/2 by the reciprocal of 1/8, which is 8/1.
(3/2) * (8/1) = (3 * 8) / (2 * 1) = 24/2 = 12.
Therefore, Daniel cut 12 slices. Answer: \boxed{12}.