One sixth as a decimal.
Understand the Problem
The question is asking for the decimal representation of the fraction one sixth, which requires converting the fraction to its decimal form.
Answer
0.1\overline{6}
Answer for screen readers
The final answer is 0.1\overline{6}
Steps to Solve
- Set up the fraction for division
To convert a fraction to a decimal, you divide the numerator by the denominator.
- Divide 1 by 6
We perform the division $1 \div 6$.
- Perform the division
$1 \div 6 = 0.1666\ldots$ which is a repeating decimal
So, the decimal representation of $\frac{1}{6}$ is $0.1666\ldots$
- Represent the repeating decimal
We use a bar to denote the repeating part:
$$ \frac{1}{6} = 0.1\overline{6} $$
The final answer is 0.1\overline{6}
More Information
Repeating decimals are often represented with a bar over the repeating digit or group of digits, which helps in distinguishing them from non-repeating decimals.
Tips
A common mistake is to not recognize that the decimal repeats. Make sure to correctly identify and represent repeating decimals.
AI-generated content may contain errors. Please verify critical information
