A person runs 1/8 mile in 1/64 hour.
The person's speed is (BLANK) miles per hour.
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Answer: The person's speed is 8 miles per hour.
Step-by-step explanation:
To solve we want to convert the [tex]\frac{1}{8}[/tex] and [tex]\frac{1}{64}[/tex] proportionally for the number of miles per hour. We know that multiplying a fraction by its reciprocal will equal 1. So let's do that for the value of the hour.
[tex]\frac{1}{64}[/tex]×[tex]\frac{64}{1} =\frac{64}{64} =1[/tex]
Since we multiplied that to the number of hours we must also do that for the number of miles.
[tex]\frac{1}{8}[/tex]×[tex]\frac{64}{1} =\frac{64}{8} =8[/tex]