[tex]||\ 8\frac{1}{5}-3\frac{4}{10}\\-------------\\\frac{4}{10}=\frac{4:2}{10:2}=\frac{2}{5}\\-------------\\||\ 8\frac{1}{5}-3\frac{2}{5}=7\frac{5+1}{5}-3\frac{2}{5}=7\frac{6}{5}-3\frac{2}{5}\\-------------\\7-3=4\\\frac{6}{5}-\frac{2}{5}=\frac{6-2}{5}=\frac{4}{5}\\-------------\\||\ \boxed{=4\frac{4}{5}}[/tex]