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?

Answer 1

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}.