[tex]4\frac{1}{8}-3\frac{5}{9}+\frac{4}{18}=\\
\\ =\frac{4 \cdot 8+1}{8}-\frac{3\cdot 9+5}{9}+\frac{4}{18}=\\
\\ =\frac{33}{8}-\frac{32}{9}+\frac{2}{9}=\\
\\ =\frac{33\cdot 9}{72}-\frac{32\cdot 8}{72}+\frac{2\cdot 8}{72}=\\
\\ =\frac{297}{72}-\frac{256}{72}+\frac{16}{72}=\\
\\ =\frac{297+256+16}{72}=\\
\\ =\frac{553+16}{72}=\\
\\ =\frac{569}{72}=\\
\\ =7\frac{65}{72}[/tex]
