Understanding Fractions: Remaining Pie After Sharing

Step-by-step Calculation of the Remaining Pie

Let’s break down the problem step by step:

1. Initial Number of Pieces: Threasa baked an apple pie and cut it into 8 pieces.
2. Pieces Eaten and Given Away: Threasa ate 1 piece and gave 1 piece to John.
3. Total Pieces Removed: The total number of pieces removed is 1 (eaten by Threasa) + 1 (given to John) = 2 pieces.
4. Pieces Remaining: To find out how many pieces of pie are left, subtract the total pieces removed from the initial number: 8 pieces - 2 pieces = 6 pieces remaining.
5. Fraction of Remaining Pie: The fraction of the remaining pie can be expressed as the number of remaining pieces over the initial total pieces:
   Remaining Pie Fraction = Remaining Pieces / Total Pieces = 6 / 8
6. Simplifying the Fraction: To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor (which is 2 in this case):
   6 / 8 = 3 / 4

Therefore, the fraction of the remaining pie is 3/4.