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QuestionMathematics

Simplify the fraction 20 / 32 Show your work.
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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 original fraction is $$\frac{20}{32}

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

To simplify, we need to find the largest number that divides both 20 and 32 evenly. - Factors of 20: 1, 2, 4, 5, 10, 20 - Factors of 32: 1, 2, 4, 8, 16, 32 - The Greatest Common Factor (GCF) is 4

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

\frac{20 \div 4}{32 \div 4} = \frac{5}{8}

Step 5:
: Verify the simplification

- $$5 \times 4 = 20
- 8 \times 4 = 32 - The fraction is now in its simplest form

Final Answer

\frac{5}{8}