[tex]one\ half=\frac{1}{2}\\\\5\ eighths=\frac{5}{8}\\\\\frac{1}{2}+\frac{5}{8}\\\\find\ the\ LCD:\\list\ the\ multiples\ of\ 2:0;\ 2;\ 4;\ 6;\ \fbox8;\ 10;...\\list\ the\ multiples\ of\ 8:0;\ \fbox8;\ 16;\ 24;\ ...\\\\therefore\ LCD(\frac{1}{2};\ \frac{5}{8})=\boxed8\\\\\frac{1}{2}=\frac{1\cdot4}{2\cdot4}=\frac{4}{8}\\\\\frac{1}{2}+\frac{5}{8}=\frac{4}{8}+\frac{5}{8}=\frac{4+5}{8}=\frac{9}{8}=\frac{8+1}{8}=\frac{8}{8}+\frac{1}{8}=\boxed{1\frac{1}{8}}[/tex]
