Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour? Drag and drop the correct value into the box.

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Harris can sew 1/6 pair of jeans every 2/3 hour or can be written as 1/6 pair of jeans/2/3 hour. To solve for Harris's rate in pairs of jeans per hour, multiply 1/6 / 2/3 hour * 60 minutes/1 hour.
2/3 hour when converted to decimal becomes 2/3 hour* 60 minutes/ 1 hour (since an hour is 60 minutes).
> 2/3 hour* 60 minutes/ 1 hour
> 2/3* 60 minutes/1
> (2 *60/3) minutes/1
> (120/3) minutes/1
> 40 minutes/1 or 40 minutes.
1/6 pair of jeans when converted to decimal becomes 1 divided by 6 equals 0.1667.

>  0.1667 pair of jeans/ 40 minutes *60 minutes/1 hour
>  0.1667 pair of jeans/40 * 60/1 hour
> 0.1667 pair of jeans* 60/40 *1 hour
> 0.1667*60 pair of jeans/40 hours
> 10.002 pair of jeans/40 hours
> 10.002 pair of jeans/40 hours
Get the reciprocal of 40 then multiply by 10.002.
> 10.002* 1/40 pair of jeans/ hours
> 0.25005 pair of jeans/ hour.