Taylor baked a cake to serve after dinner suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces explain how they could have divided the pieces so that everyone ate the same amount of cake

The cake could have been cut into 6 equal pieces.

6/8

6 people get 6 pieces.

now your left with 2 pieces of cake which is 1/4 of cake.

now 1/4 of cake cut into 6 equal parts
which is:

1/4x1/6 = 1/24

so everyone gets 1/8+1/24=1/6

To divide the cake into 8 equal-sized pieces among 6 people, you would need to use some creative cutting and sharing techniques. Here's one way to accomplish this:

1. Start by cutting the cake into 8 equal pieces as Taylor did initially.

2. Take two of the pieces and stack them together.

3. Cut the stacked pieces in half vertically, resulting in two smaller halves of the cake.

4. Repeat steps 2 and 3 with two more pieces, creating two more halves.

5. Now, you should have 4 pairs of smaller cake halves.

6. Divide these four pairs evenly among the 6 people. Each person will receive one pair.

7. Each person will have eaten three-eighths (3/8) of a full-sized piece of cake.

By following these steps, you can ensure that each person receives an equal share of the cake, which is three-eighths of a full-sized piece.