Final answer:
The division of 3657 by 200 is incorrectly framed as an equation in the question, but treated as a division problem, the result would be 18 1/4 after simplifying the mixed number. So, the best answer is b,. 18 1/4
Step-by-step explanation:
The question seems incorrect as it presents an equation 3657 + 200, which is not suitable for dividing and expressing as a mixed number.
However, I will assume that the intention was to divide 3657 by 200 and express the result as a mixed number.
First, we divide 3657 by 200 to find the quotient. The whole number part of the quotient is 18 since 200 x 18 = 3600 and there is a remainder when subtracting 3600 from 3657.
Now, to find the fractional part, we use the remainder which is 57.
Hence, 57 divided by 200 is the fractional part. This does not simplify neatly, but if we divide 57 by 4, we get 14 with a remainder of 1, leading to a much simpler fraction 14.25 or 14 1/4 over 200. Simplifying, we have 18 1/4.
So, the best answer is b,. 18 1/4