Find the difference. 5 and two-thirds minus 2 and one-half equals what number?

A. three and one-sixth
B. three and two-thirds
C. three and one-half
D. three and five-sixths

The answer is A. Three and one sixth.
Explanation:
5 2/3 - 2 1/2
First, we have to convert both mixed numbers into improper fractions.
5 2/3= 17/3
2 1/2= 5/2
Then we find the common denominator, which is in this 6.
So we would do 17/3= x/6= 34/6. X=34
5/2= x/6= 15/6. X= 15.
Then we subtract 15/6 - 34/6= 19/6
Then we convert to a mixed number and get 3 1/6.

False because how does that work?