1. **State the problem:** We need to order the numbers 6 7/11, 6.18, 53/8, and 6.635 from least to greatest. 2. **Convert all numbers to decimals for easy comparison:** - Mixed number 6 7/11: Convert the fraction $\frac{7}{11}$ to decimal by dividing 7 by 11. $$\frac{7}{11} \approx 0.636363...$$ So, $$6 \frac{7}{11} = 6 + 0.636363... = 6.636363...$$ - Decimal 6.18 is already in decimal form. - Fraction $\frac{53}{8}$: Divide 53 by 8. $$\frac{53}{8} = 6.625$$ - Decimal 6.635 is already in decimal form. 3. **List all numbers as decimals:** - 6 7/11 $\approx 6.636363...$ - 6.18 - 53/8 = 6.625 - 6.635 4. **Compare the decimals:** - 6.18 < 6.625 < 6.635 < 6.636363... 5. **Write the final order using original forms:** $$6.18 < \frac{53}{8} < 6.635 < 6 \frac{7}{11}$$