Answer
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Step 1:I'll solve this problem step by step using the specified LaTeX formatting guidelines:
Step 2:: Set up the division
\frac{5}{9}$$ means 5 ÷ 9
To convert a fraction to a decimal, we need to divide the numerator by the denominator.
Step 3:: Perform the division
5 \div 9 = 0.5555555...
This is a repeating decimal where 5 repeats infinitely.
Step 4:: Express the repeating decimal
We can write this as $$0.\overline{5}$$, where the bar over the 5 indicates it repeats forever.
Final Answer
(The decimal representation is 0.5 repeating) Key Insight: When dividing 5 by 9, the result is a repeating decimal where the digit 5 continues indefinitely after the decimal point.
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