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n average, Lucy drinks start fraction, 3, divided by, 4, end fraction 4 3 ​ of a 6-ounce glass of water in 2, one fifth2 5 1 ​ hours. How much water does she drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form

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Answer:

Rounding to the nearest hundredth, Lucy drinks approximately 2.05 ounces of water per hour.

Explanation:

To find out how much water Lucy drinks per hour, we need to divide the amount of water she drinks in 2 1/5 hours by the time in hours.

First, let's convert 2 1/5 hours to an improper fraction.

2 hours is equal to 2 * 1 = 2.

1/5 hour is equal to 1/5 * 1 = 1/5.

So, 2 1/5 hours can be written as (2 + 1/5) = 2 1/5 = (10/5 + 1/5) = 11/5.

Next, let's find out how much water Lucy drinks in 11/5 hours.

Lucy drinks 3/4 of a 6-ounce glass of water. To find out how much that is in ounces, we multiply 3/4 by 6:

(3/4) * 6 = (3 * 6) / 4 = 18/4 = 9/2 = 4.5 ounces.

Therefore, Lucy drinks 4.5 ounces of water in 11/5 hours.

To find out how much water she drinks per hour, we divide the amount of water (4.5 ounces) by the time in hours (11/5):

(4.5 ounces) / (11/5 hours) = (4.5/1) * (5/11) = (4.5 * 5) / (1 * 11) = 22.5 / 11 = 2.04545...

Rounding to the nearest hundredth, Lucy drinks approximately 2.05 ounces of water per hour.

User Chintan Rajvir
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