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.

Explanation:

To solve we want to convert the
`(1)/(8)` and
`(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.

`(1)/(64)`×
`(64)/(1) =(64)/(64) =1`

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

`(1)/(8)`×
`(64)/(1) =(64)/(8) =8`