Answer
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Step 1:I'll solve this problem step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
The problem asks us to convert the fraction $$\frac{2}{47}$$ to a decimal representation.
Step 3:: Perform Division
\frac{2}{47} = 2 \div 47 = 0.0425531914...
To convert a fraction to a decimal, we divide the numerator by the denominator:
Step 4:: Check Precision
0.0425531914 \times 47 = 2.000000000
Let's verify the division:
Step 5:: Round to a Reasonable Precision
\frac{2}{47} \approx 0.042553
For most practical purposes, we can round to 6 decimal places:
Final Answer
Key Insights: - The fraction \frac{2}{47} is a repeating decimal - The result is a precise, non-terminating decimal - The division results in a long, non-repeating decimal representation
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