To express \( 12 \frac{2}{3} \) as an improper fraction, you can follow these steps:
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Multiply the whole number (12) by the denominator (3): \[ 12 \times 3 = 36 \]
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Add the numerator (2) to that result: \[ 36 + 2 = 38 \]
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Put that result over the original denominator: \[ 12 \frac{2}{3} = \frac{38}{3} \]
So, \( 12 \frac{2}{3} = \frac{38}{3} \).