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Use the conversion factor 1hour60minutes to move from minutes to hours.
6 611 miles per hour
We know that Sammy ran 3 35 miles in 33 minutes. We want to determine his pace in miles per hour. We can do so in two steps.
We can do these steps one at a time.
We want to rewrite 33 minutes into hours. We can do so using a conversion factor 1hour60minutes to move from minutes to hours. 33minutes* 1hour/60minutes Now let's simplify our expression.
a*b/c= a* b/c
Cancel out common factors
Simplify quotient
a* b/c=a/c* b
Identity Property of Multiplication
a/b=.a /3./.b /3.
Calculate quotient
Sammy ran 3 35 miles in 1120 hour, which can be also written as 0.55 hour.
We want to determine Sammy's pace in miles per hour. We can do so by dividing the distance Sammy run by the time of the run. Pace=Distance (miles)/Time (hours) Let's substitute 3 35 miles for the distance and 1120 hour for the time in our formula and simplify.
Substitute values
a bc=a* c+b/c
.a/b /c/d.=a/b*d/c
Write fraction as a mixed number
Sammy's pace is 6 611 miles per hour.