Mixed Number Decimal 030726

1. **State the problem:** Convert the mixed number $6 \frac{7}{11}$ to a decimal and round it to the nearest hundredth. 2. **Understand the mixed number:** A mixed number like $6 \frac{7}{11}$ means $6 + \frac{7}{11}$. 3. **Convert the fraction to decimal:** Calculate $\frac{7}{11}$ as a decimal. $$\frac{7}{11} = 0.636363...$$ (repeating decimal) 4. **Add the whole number:** $$6 + 0.636363... = 6.636363...$$ 5. **Round to the nearest hundredth:** Look at the third decimal place (thousandths) to decide rounding. The third decimal digit is $6$ (since $6.636...$), so round the second decimal digit up. $$6.636363... \approx 6.64$$ **Final answer:** $6 \frac{7}{11}$ as a decimal rounded to the nearest hundredth is $6.64$.