Answer:
1. The quotient in simplest form is 4
2. It take him 8 minutes to run 1 mile.
Step-by-step explanation:
Given:
9 divided by 2 1/4.
Sean runs 3 1/2 miles in 28 minutes.
Now, to find the quotient in simplest form and the time it takes Sean to run 1 mile.
1. 9 divided by 2 1/4.
![9\div 2\frac{1}{4}](https://tex.z-dn.net/?f=9%5Cdiv%202%5Cfrac%7B1%7D%7B4%7D)
Converting mixed fraction into improper:
= ![9\div \frac{9}{4}](https://tex.z-dn.net/?f=9%5Cdiv%20%5Cfrac%7B9%7D%7B4%7D)
Converting 9/4 into decimal:
= ![9\div 2.25](https://tex.z-dn.net/?f=9%5Cdiv%202.25)
= ![4.](https://tex.z-dn.net/?f=4.)
Therefore, the quotient in simplest form is 4.
2. Sean runs 3 1/2 miles in 28 minutes.
Sean runs 7/2 miles in 28 minutes.
Now, solving it by unitary method:
Sean runs 7/2 miles in 28 minutes.
Sean runs 1 mile in =
.
= ![28\div 3.5](https://tex.z-dn.net/?f=28%5Cdiv%203.5)
= ![8\ minutes.](https://tex.z-dn.net/?f=8%5C%20minutes.)
Therefore, it take him 8 minutes to run 1 mile.