Question

On average, Khloe drinks start fraction, 4, divided by, 5, end fraction

5

4

​

of a 10-ounce glass of water in start fraction, 2, divided by, 3, end fraction

3

2

​

of an hour. 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.

Answer 1

Explanation:

Khloe drinks \( \frac{4}{5} \) of a 10-ounce glass of water in \( \frac{2}{3} \) of an hour. To find the amount of water she drinks per hour, you can set up a proportion:

\[ \frac{\text{Amount of water}}{\text{Time}} = \frac{\frac{4}{5}}{\frac{2}{3}} \]

Now, simplify the proportion:

\[ \frac{\text{Amount of water}}{\text{Time}} = \frac{4}{5} \div \frac{2}{3} \]

Invert the divisor and multiply:

\[ \frac{\text{Amount of water}}{\text{Time}} = \frac{4}{5} \times \frac{3}{2} \]

Multiply the numerators and denominators:

\[ \frac{\text{Amount of water}}{\text{Time}} = \frac{12}{10} \]

Simplify the fraction:

\[ \frac{\text{Amount of water}}{\text{Time}} = \frac{6}{5} \]

So, Khloe drinks \( \frac{6}{5} \) glasses of water per hour.