1. **State the problem:** Calculate $\frac{6}{8} - \frac{3}{5}$ and simplify the result. 2. **Find a common denominator:** The denominators are 8 and 5. The least common denominator (LCD) is $40$. 3. **Rewrite each fraction with the LCD:** $$\frac{6}{8} = \frac{6 \times 5}{8 \times 5} = \frac{30}{40}$$ $$\frac{3}{5} = \frac{3 \times 8}{5 \times 8} = \frac{24}{40}$$ 4. **Subtract the fractions:** $$\frac{30}{40} - \frac{24}{40} = \frac{30 - 24}{40} = \frac{6}{40}$$ 5. **Simplify the fraction:** Both numerator and denominator are divisible by 2. $$\frac{6}{40} = \frac{\cancel{6}^3}{\cancel{40}^{20}} = \frac{3}{20}$$ 6. **Final answer:** The simplest form of $\frac{6}{8} - \frac{3}{5}$ is $\frac{3}{20}$.