Question

Ms. Mundo made 40 ounces of tropical punch to pour into glasses. Each glass holds 7 1/2 ounces. What fraction of the last glass is full of punch?

Answer 1

Ms. Mundo can fill 5 full glasses with 40 ounces of tropical punch, with 5 ounces remaining. This remaining amount fills 2/3 of the last glass.

Step-by-step explanation:

Ms. Mundo made 40 ounces of tropical punch to pour into glasses that each holds 7 1/2 ounces. To find out what fraction of the last glass is full of punch, we first need to determine how many full glasses can be poured from the 40 ounces.

Since each glass holds 7.5 ounces (which is the same as 7 1/2 ounces), we divide 40 by 7.5 to find the number of full glasses:

40 ÷ 7.5 = 5 remainder 5

This means that 5 full glasses can be filled, with 5 ounces of punch remaining. Now, to find out what fraction of the last glass the remaining punch fills, we divide the leftover ounces by the capacity of one glass:

5 ÷ 7.5 = 2/3

The fraction of the last glass that is full of punch is 2/3.

Answer 2

`(1)/(3)`

Step-by-step explanation:

If we were to divide 40 by 7 1/2, or 7.5, we could see how many "FULL" glasses there would be.

We will take the whole number. Lets divide:

40/7.5 = 5.33

So, there would be "5" full glasses of 7.5 ounces each. How much would that hold (cover)?

5 * 7.5 oz = 37.5 oz

Remaining is 40 - 37.5 = 2.5 oz

So, the last glass (which has capacity of 7.5 oz) would hold 2.5 oz. What fraction is this??

We simply divide 2.5 with full capacity of 7.5, that would be:

`(2.5)/(7.5)=(1)/(3)`

Hence, the last glass would be
`(1)/(3)` full