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QuestionMathematics

Express 32 / 36 in simplest form.
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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 given fraction is $$\frac{32}{36}

Step 3:
: Find the Greatest Common Factor (GCF)

To simplify the fraction, we need to find the largest number that divides both 32 and 36 evenly. - Factors of 32: 1, 2, 4, 8, 16, 32 - Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 - The Greatest Common Factor (GCF) is 4

Step 4:
: Divide both numerator and denominator by the GCF

\frac{32 \div 4}{36 \div 4} = \frac{8}{9}

Final Answer

\frac{8}{9} is the simplest form of \frac{32}{36}.