Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Convert the percentage to a decimal
5.75\% = 0.0575
Step 3:: Convert the decimal to a fraction
0.0575 = \frac{5.75}{100}
To convert 0.0575 to a fraction, we'll multiply by a power of 10 to remove the decimal:
Step 4:: Simplify the fraction
\frac{5.75}{100} = \frac{575}{10,000}
First, find the greatest common factor (GCF) of 5.75 and 100:
Step 5:: Reduce the fraction
\frac{575}{10,000} = \frac{23}{400}
Divide both numerator and denominator by their GCF (25):
Final Answer
Key Insights: - Percentages can be converted to fractions by dividing by 100 - Always simplify fractions to their lowest terms - The process involves converting to a decimal, then to a fraction, and then reducing
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