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 fraction
23\% = \frac{23}{100}
To convert a percentage to a fraction, we first write the percentage as a fraction over 100.
Step 3:: Simplify the fraction
To simplify, we need to find the greatest common factor (GCF) of 23 and 100. The factors of 23 are 1 and 23 (it's a prime number). The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCF is 1, which means this fraction is already in its simplest form.
Final Answer
Key Insights: - Percentages are always converted to fractions by dividing by 100 - When the numerator and denominator have no common factors other than 1, the fraction is in its simplest form - 23 is a prime number, which often helps keep fractions in their simplest form
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