Question

A person walks 2 3 of a mile in 2 9 of a hour. Which complex fraction when simplified will compute the unit rate of miles per hour?

Answer 1

2/3 / 2/9
= 2/3 * 9/2
=18/6
=3

rate = 3 miles per hour

Answer 2

`3 mi/hr`

Explanation:

The rate of miles per hour refers to the speed, which is calculated with:

`s=(d)/(t)`

Where:

`d=(2)/(3)mi`

`t=(2)/(9)hour`

Replacing all values, we have:

`s=((2)/(3)mi)/((2)/(9)hour)=(18)/(6) mi/hour\\s=3 mi/hr`

Therefore, the ratio is

`3 mi/hr`