Question

Please help!

Rachel enjoys exercising outdoors. Today she walked 5 and 2/3 miles in 2 and 2/3 hours. What is Rachel’s unit walking rate in miles per hour and in hours per mile?

Answer 1

`2 (1)/(8) ~(miles)/(hour)`

Explanation:

"Per" means division.

"miles per hour" means a distance in miles divided by a time in hours.

We need to divide 5 2/3 miles by 2 2/3 hours.

`(5 (2)/(3)~miles)/(2 (2)/(3)~hours)} =`

Change each mixed numeral into a fraction.

`= ((5 * 3 + 2)/(3)~miles)/((2 * 3 + 2)/(3)~hours)`

`= ((17)/(3)~miles)/((8)/(3)~hours)`

To divide by a fraction, multiply by its reciprocal.

`= (17)/(3) * (3)/(8) (miles)/(hour)`

`= (17)/(8) (miles)/(hour)`

`= 2 (1)/(8) ~(miles)/(hour)`