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.