[tex]8 \frac{2}{8}-6 \frac{5}{8} \\ \\ 8 \frac{1}{4} - 6 \frac{5}{8} \ / \ simplify \\ \\ \frac{8 \times 4 + 1}{4} - 6 \frac{5}{8} \ / \ convert \ to \ improper \ fraction \\ \\ \frac{32+1}{4} 6 \frac{5}{8} \ / \ simplify \\ \\ \frac{33}{4} - 6 \frac{5}{8} \ / \ simplify \\ \\ \frac{33}{4} - \frac{48+5}{8} \ / \ simplify \\ \\ \frac{33}{4} - \frac{53}{8} \ / \ simplify \\ \\ LCD = 8 \ / \ least \ common \ denominator \\ \\ \frac{33 \times 2}{4 \times 2} - \frac{53}{8} \ / \ multiply \\ \\ [/tex]
[tex] \frac{66}{8} - \frac{53}{8} \ / \ simplify \\ \\ \frac{66-53}{8} \ / \ combine \ denominators \\ \\ \frac{13}{8} \ / \ simplify \\ \\ 1 \frac{5}{8} \ / \ convert \ to \ mixed \ fraction \\ \\ Answer: \fbox {1 / 5/8} \ or \fbox {1.625} [/tex]
