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The problem asks about the distance a candle has burned in 8½ hours if a candle that starts at 8¼ inches burns down in 11 hours.

To solve this:

1. **Burn rate**: The candle burns 8¼ inches in 11 hours.
   \[
   \text{Burn rate} = \frac{8 \frac{1}{4}}{11} = \frac{33}{4} \div 11 = \frac{33}{44} = 0.75 \text{ inches per hour.}
   \]

2. **Total burn after 8½ hours**:
   \[
   \text{Total burn} = 0.75 \times 8.5 = 0.75 \times \frac{17}{2} = \frac{51}{4} = 12.75 \text{ inches burned.}
   \]

Now that the candle has burned 12.75 inches in 8½ hours, you can report this as a decimal, mixed number, or improper fraction:

- **Decimal**: 12.75 inches
- **Mixed number**: \( 12 \frac{3}{4} \) inches
- **Improper fraction**: \( \frac{51}{4} \) inches

Would you like more details or have any questions?

Here are five related questions:
1. How do you convert a mixed number to an improper fraction?
2. How can you find the rate of burn for different time intervals?
3. If the candle burns at 0.75 inches per hour, how long will it take to fully burn a 10-inch candle?
4. How would the calculation change if the candle burned faster in the first half?
5. How do you convert a decimal to a mixed number?

**Tip**: Always ensure that your units are consistent (e.g., inches per hour) throughout the problem to avoid confusion.

A 8 1/4-inch candle burns down in 11 hours. How far has it burned after 8 1/2 hours? Use the dropdown menu to state your answer as a decimal, mixed number, or improper fraction.

Learn how to calculate the distance a candle has burned after a set amount of time. This problem involves understanding burn rate, fractions, and conversions between decimals, mixed numbers, and improper fractions. Suitable for Grades 6-8.

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