(X-17 1/9)-4 5/12=19 17/18

(х - 17 1/9) - 4 5/12 = 19 17/18
х - 17 1/9 = 19 17/18 + 4 5/12

Расчёты: $19 \frac{17}{18}+4 \frac{5}{12} = \frac{359}{18} + \frac{53}{12}= \frac{718+159}{36} =\frac{877}{36}$

х - 17 1/9 = 877/36
х = 877/36 + 17 1/9

Расчёты: $\frac{877}{36}+17 \frac{1}{9} = \frac{877}{36} + \frac{154}{9}= \frac{877+616}{36} = \frac{1493}{36} =41 \frac{17}{36}$

х = 41 17/36