Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Convert the percentage to a fraction
\frac{82}{100}
• To convert a percentage to a fraction, divide the percentage by 100
Step 3:: Simplify the fraction
\frac{82 \div 2}{100 \div 2} = \frac{41}{50}
• Find the greatest common factor (GCF) of 82 and 100 • The GCF is 2 • Divide both numerator and denominator by 2
Final Answer
Key Insights: - Percentages represent parts per 100 - To convert a percentage to a fraction, divide by 100 - Always simplify the resulting fraction to its lowest terms - In this case, 82% reduces to \frac{41}{50}
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