To multiply \(3 \frac{1}{4}\) by \(16\), first convert \(3 \frac{1}{4}\) to an improper fraction.
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Convert \(3 \frac{1}{4}\) to an improper fraction: \[ 3 \frac{1}{4} = \frac{(3 \times 4) + 1}{4} = \frac{12 + 1}{4} = \frac{13}{4} \]
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Now multiply \(\frac{13}{4}\) by \(16\): \[ \frac{13}{4} \times 16 = \frac{13 \times 16}{4} \]
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Simplify the multiplication: \[ \frac{13 \times 16}{4} = \frac{208}{4} = 52 \]
So, \(3 \frac{1}{4} \times 16 = 52\).