Question

During each hour of exercise, Matthew drinks 1 2/3 cups of water. Matthew exercised for 14 hours this month How many cups of water did he drink while he was exercising this month? O A 14 cups of water O B. 23. cups of water. O Cocups of water OD D. 32+2 3 or 113 cups of water

Answer 1

We know that:

`Matthew\text{ }drinks\text{ 1}(2)/(3)cups\text{ of water each hour of exercise}`

And he exercised for 14 hours this month. We must calculate how many cups of water he drank while he was exercising this month.

To find it we muts multiply

`1(2)/(3)\cdot14`

1. we need to convert mixed fraction to improper fraction

`1(2)/(3)=(3+2)/(3)=(5)/(3)`

2. we must replace the improper fraction in the initial multiplication

`(5)/(3)\cdot14`

3. We must solve the multiplication

`(5)/(3)\cdot14=(70)/(3)`

4. we need to convert improper fraction to mixed fraction

`(70)/(3)=23(1)/(3)`

ANSWER:

`\text{ B. }23(1)/(3)\text{ cups of water}`