Final answer:
Each person will receive 3/7 pound of peanuts.
Step-by-step explanation:
To find out how much each person receives, we need to divide the amount of peanuts equally among the six people. The given amount is 3/7 pound of peanuts. To divide it equally among six people, we need to divide the total amount by the number of people, which is 6. So, each person will receive (3/7) ÷ 6 pounds of peanuts.
To simplify the fraction, we can multiply the numerator and denominator by 2, giving us 6/14 pounds of peanuts. This fraction can be further simplified by dividing both the numerator and denominator by their greatest common factor, which is 2.
Therefore, each person will receive 3/7 pound of peanuts in simplest form.