1. **State the problem:** Order the numbers $4 \frac{2}{5}$, $\frac{35}{8}$, $4.49$, and $4.461$ from least to greatest. 2. **Convert all numbers to decimals for easy comparison:** - $4 \frac{2}{5} = 4 + \frac{2}{5} = 4 + 0.4 = 4.4$ - $\frac{35}{8} = 4.375$ - $4.49$ is already a decimal. - $4.461$ is already a decimal. 3. **List the decimal equivalents:** - $4 \frac{2}{5} = 4.4$ - $\frac{35}{8} = 4.375$ - $4.49$ - $4.461$ 4. **Order the decimals from least to greatest:** - $4.375 < 4.4 < 4.461 < 4.49$ 5. **Match back to original numbers:** - $\frac{35}{8} < 4 \frac{2}{5} < 4.461 < 4.49$ **Final answer:** $$\frac{35}{8} < 4 \frac{2}{5} < 4.461 < 4.49$$