[tex]\frac{15}{18}+\frac{1}{2}-\frac{1}{3}-\frac{2}{6}=\frac{5}{6}+\frac{1}{2}-\frac{1}{3}-\frac{1}{3}=\frac{5}{6}+\frac{1}{2}-\frac{2}{3}=(*)\\\\LCD(\frac{5}{6};\ \frac{1}{2};\ \frac{2}{3})=6\\\\\frac{1}{2}=\frac{3}{6};\ \frac{2}{3}=\frac{4}{6}\\\\(*)=\frac{5}{6}+\frac{3}{6}-\frac{4}{6}=\frac{5+3-4}{6}=\frac{4}{6}=\frac{2}{3}[/tex]