To convert the mixed number \(3 \frac{1}{4}\) into an improper fraction, follow these steps:
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Multiply the whole number (3) by the denominator (4): \[ 3 \times 4 = 12 \]
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Add the numerator (1) to this result: \[ 12 + 1 = 13 \]
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Place the result over the original denominator (4): \[ \frac{13}{4} \]
Therefore, \(3 \frac{1}{4} = \frac{13}{4}\).