What is 5/9 as a decimal?
Understand the Problem
The question is asking to convert the fraction 5/9 into its decimal form, which involves performing the division of the numerator by the denominator.
Answer
$0.\overline{5}$
Answer for screen readers
The final answer is $0.\overline{5}$
Steps to Solve
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Set up the division problem
To convert the fraction $\frac{5}{9}$ to a decimal, we need to divide 5 by 9.
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Perform the division
Divide 5 by 9. Since 5 is less than 9, the result will be a decimal less than 1.0. You can perform long division to find the decimal.
Set up 5 divided by 9:
$5 \div 9 = 0.5555...$
The digits 5 repeat infinitely, so the decimal representation is $0.\overline{5}$.
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Write the result in decimal form
The decimal form of $\frac{5}{9}$ is $0.\overline{5}$, indicating that the digit 5 repeats indefinitely.
The final answer is $0.\overline{5}$
More Information
Repeating decimal fractions often appear when dividing numbers that do not evenly divide into each other.
Tips
A common mistake is to round the decimal too soon or not recognizing that the decimal repeats indefinitely.
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