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

Answer:

D.)12 2/9

Step-by-step explanation:

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

Answer 2

Answer:

D. 12 2⁄9

Step-by-step explanation:

We know that the total stretch of the road which needs repaving is $27\frac{1}{2}$ mile and the company says that they can repave $2\frac{1}{4}$ miles of road per week.

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

$27\frac{1}{2}$ = $\frac{55}{2}$

$2\frac{1}{4}$ = $\frac{9}{4}$

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

$\frac{\frac{55}{2}}{\frac{9}{4}}$

$\frac{55}{2}*\frac{4}{9}$

$12\frac{2}{9}$

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