Dario purchased a party size sub, and he decides to share it with 3 of his friends. So, he cuts the sub into 4 equal pieces. However, another one of his friends also showed up, and there are now 5 people in total.

Part A

Now that the sub will be shared equally among 5 people, will each person get more or less sub? Briefly state why you think so.

Part B

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.

Respuesta :

The fraction illustrates that each person will get less sub since there are more people sharing it.

How to explain the fraction?

In this case, Dario purchased a party size sub, and he decides to share it with 3 of his friends but another friend came. This means there will be less in to be shared.

The fraction of the party size sub did each person get after all the parts were shared out will be:

= 1/5 × 4

= 4/5

Therefore, each person gets 4/5.

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