Final answer:
To find out what fraction of a pound each person receives when sharing 3/5 pound of peanuts equally among six people, you divide 3/5 by 6, arriving at 1/10 of a pound per person.
Step-by-step explanation:
The question is asking how to divide 3/5 pound of peanuts equally among six people. To find out what fraction of a pound each person receives, you divide the total amount of peanuts by the number of people. Here is how you calculate it:
Write down the fraction that represents the total amount of peanuts: 3/5.
Since there are six people, you need to divide this fraction by 6, which is the same as multiplying by the reciprocal of 6, which is 1/6.
Multiply 3/5 by 1/6 to find the amount each person gets: (3/5) * (1/6) = 3/30.
Simplify the fraction 3/30 by dividing both the numerator and denominator by the greatest common factor, which is 3. This gives you 1/10.
Therefore, each person receives 1/10 of a pound of peanuts.