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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Identify the Greatest Common Factor (GCF)
- 18 = $$2 \times 3^{2}
To simplify a fraction, we need to find the largest number that divides both the numerator and denominator evenly. Let's factor both numbers:
Step 3:: Determine the Greatest Common Factor
GCF = 2 \times 3 = 6
The greatest common factor (GCF) is the product of the common prime factors:
Step 4:: Divide Both Numerator and Denominator by the GCF
\frac{12}{18} = \frac{12 \div 6}{18 \div 6} = \frac{2}{3}
Final Answer
The fraction 12 / 18 simplifies to \frac{2}{3} in its simplest form.
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