Question

A 271⁄2-mile stretch of road needs repaving. A company bid on the repaving project, saying they could repave 21⁄4 miles of road per week. How many weeks will the company take to completely repave the stretch of road? A. 151⁄2 B. 121⁄3 C. 131⁄2 D. 122⁄9

Answer 1

D.)12 2/9

Explanation:

27 1/2 / 2 1/4= 12 2/9

Answer 2

D. 12 2⁄9

Explanation:

We know that the total stretch of the road which needs repaving is
`27(1)/(2)` mile and the company says that they can repave
`2(1)/(4)` miles of road per week.

So first of all, we will convert these numbers into an improper fraction:

`27(1)/(2)` =
`(55)/(2)`

`2(1)/(4)` =
`(9)/(4)`

Now we will divide the total stretch of the road by the number of miles that can be repaved each week:

`((55)/(2))/((9)/(4))`

`(55)/(2)*(4)/(9)`

`12(2)/(9)`

Therefore, option D. 12 2⁄9 is the correct answer.