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? A) 2/ 3/ 2/ 9 B) 2/ 3 /9 /2 C) 2/ 9/ 2/ 3 D) 3/ 2/ 2/ 9

Answer 1

unit rate of miles per hour = (2/3) / (2/9)

Answer 2

The required fraction when simplified will compute the unit rate is 3 miles per hour.

Explanation:

Given : A person walks
`(2)/(3)` of a mile in
`(2)/(9)` of a hour.

To find : Which complex fraction when simplified will compute the unit rate of miles per hour?

Solution :

The miles per hour indicated the speed.

i.e.
`\text{Speed}=\frac{\text{Distance}}{\text{Time}}`

Distance =
`(2)/(3)` mile

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

`\text{Speed}=((2)/(3))/((2)/(9))\ \text{miles/hour}`

`\text{Speed}=(2)/(3)* (9)/(2)\ \text{miles/hour}`

`\text{Speed}=3\ \text{miles/hour}`

The required fraction when simplified will compute the unit rate is 3 miles per hour.