Problem Solving

Hello,

Can you please tell me if my approach is correct here?

If x/y has remainder 9, and x/y = 9.81, what is the value of y?

A) 11 1/9
B) 22 2/9
C) 33 1/3
D) 44 1/3
E) 55 1/5

OA: A

x/y has remainder 9 => x = (y . Q) + 9 ; where Q is the quotient
=> x/y = Q + 9/y - I

x/y = 9.81 => x/y = 9 + 81/100 - II

From I and II,

Q + 9/y = 9 + 81/100

=> 9/y = 81/100

=> 1/y = 9/100

=> y = 100/9

Hence, A


Thanks a lot,
Sri