What is the decimal form of 5/9?
Understand the Problem
The question is asking for the decimal representation of the fraction 5/9. The goal is to convert the fraction into its decimal form.
Answer
The decimal form of \( \frac{5}{9} \) is \( 0.5\overline{5} \).
Answer for screen readers
The decimal form of ( \frac{5}{9} ) is ( 0.5\overline{5} ).
Steps to Solve
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Set up the division To convert the fraction $\frac{5}{9}$ into a decimal, we will perform the division of 5 divided by 9.
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Perform the long division Divide 5 by 9. Since 5 is less than 9, we can add a decimal point and a zero (making it 50) to continue the division.
- 9 goes into 50, 5 times (since $9 \times 5 = 45$).
- Subtract 45 from 50, which gives us 5.
- Bring down another 0 to make it 50 again.
- Repeat the process Continue the division as before:
- 9 goes into 50, 5 times again.
- This process will continue indefinitely, resulting in the repeating decimal 0.555...
- Represent the repeating decimal We use a bar notation to indicate the repeating part of the decimal. Therefore, the decimal representation of $\frac{5}{9}$ is $0.5\overline{5}$.
The decimal form of ( \frac{5}{9} ) is ( 0.5\overline{5} ).
More Information
The fraction ( \frac{5}{9} ) converts to a recurring decimal ( 0.555... ), commonly denoted as ( 0.5\overline{5} ), indicating that the digit '5' repeats indefinitely. This is a common conversion for fractions with non-terminating decimal representations.
Tips
- Not recognizing that the decimal form repeats. Some might write ( 0.555... ) without using the bar notation.
- Miscalculating the division process, leading to an incorrect decimal conversion.
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