🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

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

  1. Set up the division To convert the fraction $\frac{1}{9}$ into decimal form, we will divide 1 by 9.

  2. 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.

  3. 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.
Thank you for voting!
Use Quizgecko on...
Browser
Browser