Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the fraction
The given fraction is $$\frac{3}{15}
Step 3:: Find the Greatest Common Factor (GCF)
To simplify the fraction, we need to find the largest number that divides both the numerator and denominator evenly. - Factors of 3: 1, 3 - Factors of 15: 1, 3, 5, 15 - The Greatest Common Factor (GCF) is 3
Step 4:: Divide both the numerator and denominator by the GCF
\frac{3 \div 3}{15 \div 3} = \frac{1}{5}
Final Answer
Key Insights: - Simplifying a fraction means reducing it to its lowest terms - We divide both the numerator and denominator by their greatest common factor - The simplified fraction \frac{1}{5} cannot be reduced further
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