Question

A person runs 1 4 of a mile in 1 32 of an hour. Compute the unit rate by setting up a complex fraction and simplifying.

Answer 1

1/4 mile in 1/32 hr
unit rate would be x miles in 1 hour.
A complex fraction is a fraction that has a fraction in the numerator OR denominator OR both.


(1/4) / (1/32) =(1/4) * (32/1) = 8 miles in 1 hour

Answer 2

8 miles per hour

Explanation:

Given that a person runs a distance of 1/ 4 of a mile in 1/ 32 of an hour.

We have to compute the unit rate by setting up a complex fraction and simplifying

Let us find distance travelled in one hour.

`(1)/(32) hour  .... (1)/(4) miles\\1 hour                  ... (1)/(4) /(1)/(32)\\=(32)/(4) =8mph`

i.e. unit rate is he travels in one hour 8 miles.

Unit rate is normally for a single unit and other unit is left correspondingly

Here hour or time is made as unit i.e. one hour and distance travelled in one hour is calculated as 8 miles per hour.