\(\frac{38}{11}+\frac{4}{17}-\frac{5}{11}-\frac{3}{17}\)
\(=\frac{38}{11}-\frac{5}{11}+\frac{4}{17}-\frac{3}{17}\)
\(=\frac{33}{11}+\frac{1}{17}\)
\(=3+\frac{1}{17}\)
\(=\frac{52}{17}\)
38/11+4/17-5/11-3/17
=(38/11-5/11)+(4/17-3/17)
=3+1/17
=51/17+1/17=52/17
\(\left(\frac{38}{11}-\frac{5}{11}\right)+\left(\frac{4}{17}-\frac{3}{17}\right)=\frac{33}{11}+\frac{1}{17}=3+\frac{1}{17}=\frac{52}{17}\)