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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
• $$86\% = \frac{86}{100}
• To convert a percentage to a fraction, divide the percentage by 100
Step 3:: Simplify the fraction
\frac{86}{100} = \frac{86 \div 2}{100 \div 2} = \frac{43}{50}
• Find the greatest common factor (GCF) of 86 and 100 • The GCF is 2 • Divide both the numerator and denominator by 2
Step 4:: Verify simplification
• Check that 43 and 50 have no common factors other than 1 • 43 is a prime number • 50 = 2 \times 5^{2} • No further simplification is possible
Final Answer
\frac{43}{50}
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