Peggy had a bag of nuts. She ate 1/5 of the nuts and gave the remaining nuts to 3 friends equally. What fraction of the nuts did each friend get?
(4/5) / 3 = (4/5) * (1/3) = 4/15
speaking of nuts am hungry for some
To find out what fraction of the nuts each friend got, we need to divide the remaining nuts (after Peggy ate 1/5 of them) equally among the 3 friends.
Let's begin with the total number of nuts in Peggy's bag. We'll represent this number as "N".
Peggy ate 1/5 of the nuts, so the remaining nuts can be calculated as 1 - 1/5 = 4/5 of "N".
Now, we need to divide the remaining nuts, which is 4/5 of "N", equally among the 3 friends.
To do this, we divide 4/5 by 3:
(4/5) ÷ 3 = (4/5) × (1/3) = 4/15
Therefore, each friend received 4/15 of the nuts.
To find the fraction of the nuts that each friend received, we first need to determine the number of nuts Peggy had initially and subtract the portion she ate.
Let's say Peggy had "n" nuts in her bag.
Peggy ate 1/5 of the nuts, which can be represented as (1/5)n.
The remaining nuts would be (n - (1/5)n) or (4/5)n.
Now, Peggy gives this remaining quantity of nuts equally to her 3 friends. To find the fraction of nuts each friend gets, we need to divide the remaining nuts by the number of friends.
Each friend will get (4/5)n / 3 nuts.
Therefore, the fraction of nuts each friend receives is (4/5)n / 3n, which simplifies to 4/15.