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To determine which decimal number is equal to \(\frac{1}{6}\), we need to convert the fraction into its decimal form.

1. Divide 1 by 6:
   \[
   1 \div 6 = 0.1666\ldots
   \]

2. The result is a repeating decimal \(0.\overline{16}\), where \(6\) is the repeating digit.

Looking at the provided options:
- \(0.\overline{16}\) matches \(0.1\overline{6}\) which is the decimal representation of \(\frac{1}{6}\).

So, the correct answer is \(0.1\overline{6}\).

Would you like further details or have any questions?

Here are 5 related questions that expand on this topic:
1. How can you convert other fractions to repeating decimals?
2. What is the decimal representation of \(\frac{1}{3}\)?
3. Why do some fractions have repeating decimals while others do not?
4. How can you recognize a repeating decimal from its fractional form?
5. What is the process to convert a repeating decimal back into a fraction?

**Tip:** When converting a fraction to a decimal, always check if the decimal terminates or repeats, which can help in understanding the fraction's properties better.

Learn how to convert the fraction 1/6 into a repeating decimal (0.1̅6) by performing division. This guide covers key concepts about repeating decimals and fraction-to-decimal conversion. Suitable for students in Grades 6-8.

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