1/9 as a decimal
Understand the Problem
The question is asking to convert the fraction 1/9 into its decimal form. This involves performing the division of 1 by 9.
Answer
The decimal form of the fraction $\frac{1}{9}$ is $0.\overline{1}$.
Answer for screen readers
The decimal form of the fraction $\frac{1}{9}$ is $0.\overline{1}$.
Steps to Solve
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Set up the division To convert the fraction $\frac{1}{9}$ into decimal form, we will divide 1 by 9.
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Perform the division When you divide 1 by 9, it gives: $$ 1 \div 9 = 0.1111... $$ This division can be done long division, or you can recognize that the result repeats.
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Identify the repeating decimal The result from the division indicates that the decimal 0.1111... continues indefinitely. We can represent this repeating decimal with a bar over the repeating part:
The answer can therefore be written as: $$ 0.\overline{1} $$
The decimal form of the fraction $\frac{1}{9}$ is $0.\overline{1}$.
More Information
The decimal representation of $\frac{1}{9}$ is a repeating decimal, indicating that the digit '1' repeats endlessly. This is common in fractions where the denominator does not evenly divide the numerator.
Tips
- A common mistake is stopping the division too early and writing it as $0.1$ instead of recognizing that it continues as $0.1111...$.
- Another mistake can be forgetting to denote it as a repeating decimal, which is important to show it continues indefinitely.
