Question

on average, khloe drinks \\(\frac{4}{5}\\) of a 10 - ounce glass of water in \\(\frac{2}{3}\\) 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 attempt 1 out of 2

Explanation:

Step1: Identify the rate formula

To find the rate in glasses per hour, we use the formula: Rate = Amount of water / Time taken. Here, the amount of water is $\frac{4}{5}$ glasses and the time is $\frac{2}{3}$ hours.

Step2: Divide the amount by time

We need to calculate $\frac{4}{5} \div \frac{2}{3}$. When dividing fractions, we multiply by the reciprocal of the divisor. So, $\frac{4}{5} \times \frac{3}{2}$.

Step3: Multiply the fractions

Multiply the numerators: $4\times3 = 12$. Multiply the denominators: $5\times2 = 10$. So we get $\frac{12}{10}$.

Step4: Simplify the fraction

Divide numerator and denominator by their greatest common divisor, which is 2. $\frac{12\div2}{10\div2}=\frac{6}{5}$. Convert to a mixed number: $1\frac{1}{5}$.

Answer:

$1\frac{1}{5}$