Write 11/18 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats.

To write \( \frac{11}{18} \) as a decimal, we'll perform the division \( 11 \div 18 \).

Let's calculate:

1. **Divide 11 by 18:**
   \[
   11 \div 18 = 0.611111\ldots
   \]
   The result is \( 0.611111\ldots \), where the digit "1" repeats indefinitely.

2. **Expressing the decimal:**
   Since the digit "1" repeats, we can write the decimal as:
   \[
   0.6\overline{1}
   \]
   The bar over the "1" indicates that it repeats.

Therefore, \( \frac{11}{18} \) as a decimal is \( 0.6\overline{1} \).

Would you like further details or have any questions?

Here are some related questions to consider:
1. What is \( \frac{11}{18} \) as a percentage?
2. How can you identify the repeating digit in a decimal without performing long division?
3. What is the decimal representation of \( \frac{5}{6} \)?
4. How do you convert a repeating decimal like \( 0.6\overline{1} \) back into a fraction?
5. Why do some fractions result in repeating decimals while others do not?

**Tip:** Remember, if a fraction's denominator is composed of factors other than 2 or 5, the decimal will repeat.

Learn how to convert the fraction 11/18 to a decimal using division. Step-by-step calculation shows how the repeating decimal 0.6̅1 is derived. Suitable for Grades 6-8.

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