Answer:
[tex] \frac{7}{24} [/tex]
Step-by-step explanation:
[tex]6 \frac{5}{8} + \bigg( - 6 \frac{1}{3} \bigg ) \\ \\ = 6 \frac{5}{8} - 6 \frac{1}{3} \\ \\ = \frac{6 \times 8 + 5}{8} - \frac{6 \times 3 + 1}{3} \\ \\ = \frac{48 + 5}{8} - \frac{18 + 1}{3} \\ \\ = \frac{53}{8} - \frac{19}{3} \\ \\ = \frac{53 \times 3 - 19 \times 8}{8 \times 3} \\ \\ = \frac{159 - 152}{24} \\ \\ = \frac{7}{24} [/tex]