Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Identify the fraction
The original fraction is $$\frac{2}{10}
Step 3:: Simplify by finding the greatest common factor (GCF)
\frac{2 \div 2}{10 \div 2} = \frac{1}{5}
The GCF of 2 and 10 is 2 - Divide both the numerator and denominator by 2
Step 4:: Verify the simplification
- $$\frac{1}{5}$$ cannot be simplified further
- 2 \times 1 = 2
Final Answer
Key Insights: - To simplify a fraction, divide both the numerator and denominator by their greatest common factor - The goal is to reduce the fraction to its lowest terms - \frac{2}{10} and \frac{1}{5} represent the same value, but \frac{1}{5} is in its simplest form
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