Answer:
D. 12 2⁄9
Step-by-step explanation:
We know that the total stretch of the road which needs repaving is [tex]27\frac{1}{2}[/tex] mile and the company says that they can repave [tex]2\frac{1}{4}[/tex] miles of road per week.
So first of all, we will convert these numbers into an improper fraction:
[tex]27\frac{1}{2}[/tex] = [tex]\frac{55}{2}[/tex]
[tex]2\frac{1}{4}[/tex] = [tex]\frac{9}{4}[/tex]
Now we will divide the total stretch of the road by the number of miles that can be repaved each week:
[tex]\frac{\frac{55}{2}}{\frac{9}{4}}[/tex]
[tex]\frac{55}{2}*\frac{4}{9}[/tex]
[tex]12\frac{2}{9}[/tex]
Therefore, option D. 12 2⁄9 is the correct answer.
