Which answer choice correctly illustrates the quotient as a fraction in simplest terms?

To solve this problem let's calculate each choice.
We have to check if the fraction on the right side equals the number we are trying to divide.
For example:
31 14/29 = 31 x 29 + 14 = 913 => Ok!
53 5/16 = 53 x 16 + 5 = 853 => Not ok!
4 8/25 = 4 x 25 + 8 = 108 => Not ok!
For last choice we get
53.25 x 16 = 852
However, the exercise tells us to find a fraction, so this choice is not okay either.
Answer: 31 14/29 = 31 x 29 + 14 = 913
[tex]31\frac{14}{29}=31\times29+14=913[/tex]