1. **State the problem:** Find the value of $a_2$ if $\frac{2}{6} - 8$. 2. **Simplify the expression:** $$\frac{2}{6} - 8 = \frac{1}{3} - 8$$ 3. **Convert 8 to a fraction with denominator 3:** $$8 = \frac{24}{3}$$ 4. **Subtract the fractions:** $$\frac{1}{3} - \frac{24}{3} = \frac{1 - 24}{3} = \frac{-23}{3}$$ 5. **Interpretation:** The expression evaluates to $\frac{-23}{3}$, which does not match any of the given options a) $\frac{1}{2}$, b) 0, c) 13, d) -10, e) 5. Since the problem states "If $\frac{2}{6} - 8$, then $a_2$ equals..." and the options are discrete values, it seems there might be a misunderstanding or missing context. **However, since the first question is the only one to solve fully, and the rest are ignored per instructions, we conclude:** **Final answer:** None of the given options match the evaluated value $\frac{-23}{3}$.