1. **State the problem:** Simplify the expression $\pi \times 10 / 6$. 2. **Write the expression:** $$\frac{\pi \times 10}{6}$$ 3. **Simplify the fraction:** Both numerator and denominator can be divided by 2. $$\frac{\pi \times \cancel{10}}{\cancel{6}} = \frac{\pi \times 5}{3}$$ 4. **Final simplified expression:** $$\frac{5\pi}{3}$$ This is the simplified form of the given expression.