Question

On average, Fabian drinks start fraction, 2, divided by, 3, end fraction

3
2
​
of a 10-ounce glass of water in 2, start fraction, 3, divided by, 5, end fraction2
5
3
​
hours. How many glasses of water does he drink in one hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.

Answer 1

Fabian drinks 2 22/39 glasses of water per hour. This is calculated by first converting the time to an improper fraction and then using a proportion to find the amount d_runk in one hour.

Step-by-step explanation:

The student has asked how many glasses of water Fabian drinks in one hour if he drinks 2/3 of a 10-ounce glass in 2 3/5 hours. First, we convert 2 3/5 hours to an improper fraction to make calculations easier: 2 3/5 = 13/5 hours.

Then, we determine the amount of water consumed in one hour by setting up a proportion where x represents the amount of water in ounces

2/3 glass over 13/5 hours equals x glass over 1 hour. This can be written as:

(2/3) / (13/5) = x / 1

To solve for x, we multiply both sides by 13/5:

x = (2/3) * (5/13)

= 10/39

Since Fabian drinks 10/39 of a 10-ounce glass of water per hour, we want to know how many glasses this is equivalent to. Since we know that each glass is 10 ounces, we can simplify:

x = (10/39) * 10

= 100/39 ounces of water per hour.

To express this as a fraction of a glass, we divide 100 by 39:

x = 2 22/39 glasses of water per hour.