[tex]6 \frac{1}{2} + 2 \frac{3}{8} = \\ \frac{13}{2} + \frac{19}{8} = \\ \frac{52}{8} + \frac{19}{8} = \\ \frac{71}{8}[/tex]
[tex] \frac{71}{8} - 2 \frac{1}{4} = \\ \frac{71}{8} - \frac{9}{4} = \\ \frac{71}{8} - \frac{18}{8} = \\ \frac{53}{8} [/tex]
[tex] \frac{53}{8} = 6 \frac{5}{8} [/tex]