Question

A person runs 1/8 mile in 1/64 hour. The person's speed is (BLANK) miles per hour.

Answer 1

Answer: The person's speed is 8 miles per hour.

Step-by-step explanation:

To solve we want to convert the $\frac{1}{8}$ and $\frac{1}{64}$ 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.

$\frac{1}{64}$×$\frac{64}{1} =\frac{64}{64} =1$

Since we multiplied that to the number of hours we must also do that for the number of miles.

$\frac{1}{8}$×$\frac{64}{1} =\frac{64}{8} =8$