A pie was cut into two equal pieces, and then each piece was cut into halves again. If two pieces were eaten, what portion of the pie remains?

To find out what portion of the pie remains after two pieces have been eaten, let's break down the steps:

Initially, the pie is cut into two equal pieces. This means each piece is 1/2 of the pie. When each of these two pieces is cut in half again, we end up with four equal pieces, each representing 1/4 of the whole pie.

Thus, the four pieces of the pie can be labeled as follows:

• Piece 1: 1/4
• Piece 2: 1/4
• Piece 3: 1/4
• Piece 4: 1/4

If two pieces are eaten, we need to calculate how much of the pie was consumed. Since each piece is 1/4 and two pieces are eaten, the total amount eaten is:

2 pieces × 1/4 per piece = 2/4, which simplifies to 1/2 of the pie.

Now, to find out how much of the pie remains, we subtract the amount eaten from the whole pie:

1 - 1/2 = 1/2.

Therefore, the portion of the pie that remains after two pieces have been eaten is 1/2.