Dario decides to take each one of the 4 pieces and share it equally among the 5 of them. First, he divides one piece into 5 equal parts and shares it, then the next one, and so on.
What fraction of the party size sub did each person get after all the parts were shared out? Briefly explain your reasoning.
Each piece was divided into 5 equal parts, so there were a total of 4 x 5 = 20 parts. These 20 parts were shared among the 5 people, so each person received 20/5 = 4 parts.
Since each piece was divided into 5 parts, each part represents 1/5 of a piece. Therefore, each person received 4 x 1/5 = 4/5 of a piece.
So, each person received 4/5 of the party size sub after all the parts were shared out.