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Question
unit rate. 8. miles $\frac{3}{5}$ hours $\frac{1}{3}$ miles in 1 hour
Step1: Recall unit - rate formula
The unit rate of miles per hour is found by dividing the number of miles by the number of hours. The formula for the rate $r$ is $r=\frac{\text{miles}}{\text{hours}}$.
Step2: Substitute given values
We are given that the number of miles is $\frac{3}{5}$ and the number of hours is $\frac{1}{3}$. So, $r = \frac{\frac{3}{5}}{\frac{1}{3}}$.
Step3: Divide by a fraction
Dividing by a fraction is the same as multiplying by its reciprocal. So, $r=\frac{3}{5}\times\frac{3}{1}$.
Step4: Calculate the product
$\frac{3}{5}\times\frac{3}{1}=\frac{3\times3}{5\times1}=\frac{9}{5} = 1.8$ miles per hour.
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$1.8$ miles per hour