41/2 x ?=111/4

They're mix numbers.

(41/2)x = 111/4

Write: x = (2/41)×(111/4) = 111/82
Proof:
Given:
(41/2)x = 111/4
Multiply both sides by 2/41:
(2/41)×(41/2)x = (2/41)(111/4)
Note: (2/41)×(41/2) = 1
Note: (2/41)×(111/4) = 111/(41×2)
Therefore:
1×x = x = 111/(41×2)
x = 111/82
QED