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

To determine the correct answer, let’s break down the cuts made to the pie step by step.

Initially, the pie is whole, representing 1 (or 1 whole pie). The pie is then cut into two equal pieces. Each of these pieces represents 1/2 of the pie. After this, each of the two halves is cut into two equal pieces. This results in four pieces total, each representing 1/4 of the whole pie.

From here, each of the 1/4 pieces is then cut into two equal pieces. This means that there are now a total of eight pieces, with each piece representing 1/8 of the whole pie.

When two of these pieces are eaten, you take away 2/8 of the pie. This can be simplified to 1/4. Therefore, the portion of the pie that remains after eating two pieces is calculated as follows:

Starting with the whole pie (1 or 8/8), you subtract the amount eaten (2/8):

8/8 - 2/8 = 6/8

Now, you can simplify 6/8, which equals 3/4. This calculation shows that three-quarters of the pie remains after