Question

How do you convert 42 miles per hour to miles per minute?

Answer 1

In $1$ minute the distance traveled is $0.7$ miles ($\frac{7}{10}$ mile)
Explanation:
Using ratio in fractional format
$\frac{\text{distance in miles}}{\text{times in hours}}$

but there are 60 minutes in 1 hour so we have:

$\frac{\text{distance in miles}}{\text{time in hours}}\to \frac{\text{distance in miles}}{\text{time in hours}\times 60}=\frac{\text{distance in miles}}{\text{time in minutes}}$
Given: $42$ miles per hour $\to \frac{\text{distance in miles}}{\text{time in hours}}\to \frac{42}{1}$
in minutes this is: $\frac{42}{1hour}=\frac{42}{1\times 60}=\frac{42}{60minutes}$
But we need 1 minutes so we have to change the 60 minutes to 1 minute.
For multiply and divide, what we do to the bottom we also do to the top to maintain the correct ratio.
$\frac{42}{60}\equiv \frac{42÷60}{60÷60}=\frac{0.7}{1}\to \frac{miles}{minutes}$
In 1 minute the distance traveled is 0.7 miles ( $\frac{7}{10}$ mile)