1. **State the problem:** Order the rational numbers $\frac{4}{11}$, $\frac{6}{17}$, $\frac{2}{5}$, $\frac{3}{7}$, $\frac{5}{12}$, and $\frac{3}{8}$ from least to greatest. 2. **Method:** To compare fractions, convert them to decimals or find a common denominator. Here, we convert to decimals for simplicity. 3. **Convert each fraction to decimal:** - $\frac{4}{11} \approx 0.3636$ - $\frac{6}{17} \approx 0.3529$ - $\frac{2}{5} = 0.4$ - $\frac{3}{7} \approx 0.4286$ - $\frac{5}{12} \approx 0.4167$ - $\frac{3}{8} = 0.375$ 4. **Order decimals from least to greatest:** $0.3529 < 0.3636 < 0.375 < 0.4 < 0.4167 < 0.4286$ 5. **Match decimals back to fractions:** $\frac{6}{17} < \frac{4}{11} < \frac{3}{8} < \frac{2}{5} < \frac{5}{12} < \frac{3}{7}$ **Final answer:** $$\frac{6}{17}, \frac{4}{11}, \frac{3}{8}, \frac{2}{5}, \frac{5}{12}, \frac{3}{7}$$