To convert the percentage \(4 \frac{1}{4}%\) into a fraction in simplest form, follow these steps:
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First, convert the mixed number \(4 \frac{1}{4}\) into an improper fraction: \[ 4 \frac{1}{4} = 4 + \frac{1}{4} = \frac{16}{4} + \frac{1}{4} = \frac{17}{4} \]
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Next, convert the percentage into a fraction: \[ 4 \frac{1}{4}% = \frac{17}{4} \div 100 = \frac{17}{4} \times \frac{1}{100} = \frac{17}{400} \]
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Now, we need to simplify the fraction \(\frac{17}{400}\). Since 17 is a prime number and does not divide 400, the fraction is already in simplest form.
Thus, \(4 \frac{1}{4}%\) as a fraction in simplest form is: \[ \frac{17}{400} \]