\( 5 \frac{3}{11} - 1 \frac{1}{2} = \frac{58}{11} - \frac{3}{2} = \frac{58 \cdot 2}{11 \cdot 2} - \frac{3 \cdot 11}{2 \cdot 11} = \frac{116}{22} - \frac{33}{22} = \frac{83}{22} = 3 \frac{17}{22} \)
Ответ: \(3 \frac{17}{22}\)