To convert the mixed number \( 8 \frac{1}{4} \) into an improper fraction, you follow these steps:
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Multiply the whole number (8) by the denominator of the fraction (4): \[ 8 \times 4 = 32 \]
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Add the numerator of the fraction (1) to this result: \[ 32 + 1 = 33 \]
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Place this result over the original denominator (4): \[ \frac{33}{4} \]
Thus, \( 8 \frac{1}{4} \) as an improper fraction is \( \frac{33}{4} \).
So, the answer is: \[ 8 \frac{1}{4} = \frac{33}{4} \]