Final answer:
Seven friends can share 3 1/2 slices of cake when each gets half a slice, as each slice can be divided into 2 halves, resulting in 7 halves total.
Step-by-step explanation:
To determine how many friends can share 3 1/2 slices of cake when each friend gets half a slice, we first need to find out how many halves there are in 3 1/2 slices. Each whole slice can be divided into 2 halves. So, 3 slices can be divided into 3 times 2, which equals 6 halves, and since we have an additional half, we add this to get a total of 7 halves. Now, because each friend gets half a slice of cake, the number of friends that can share the 3 1/2 slices of cake would be equal to the total number of halves available. Therefore, there are 7 friends that can share the slices since we have 7 halves.