Final answer:
Each of the 9 people will receive half a pie when 41/2 pies are divided equally among them.
Step-by-step explanation:
To determine how much pie each of the 9 people will receive when dividing 41/2 pies, we first need to convert the mixed number (41/2) into an improper fraction. This is done by multiplying the whole number by the denominator and adding the numerator. For 41/2, that's 4 * 2 + 1 = 9 halves, or 9/2 pies.
Next, we divide this amount by the number of people. So, we divide 9/2 pies by 9 people, which is the same as multiplying 9/2 by the reciprocal of 9, which is 1/9.
9/2 × 1/9 = (9 × 1) / (2 × 9) = 9/18. Simplifying the fraction by dividing the numerator and the denominator by their greatest common factor, which is 9, we get 1/2.
Therefore, each person will get 1/2 or half a pie.