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QuestionMathematics

What is 36 / 90 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{36}{90}

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

To simplify the fraction, we need to find the largest number that divides both 36 and 90 evenly. - Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 - Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90 - The Greatest Common Factor (GCF) is 18

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

\frac{36 \div 18}{90 \div 18} = \frac{2}{5}

Final Answer

\frac{2}{5} is the simplest form of \frac{36}{90}.