To express \( 8 \frac{2}{9} \) as an improper fraction, you can follow these steps:
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Multiply the whole number (8) by the denominator (9). \[ 8 \times 9 = 72 \]
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Add the numerator (2) to the result from step 1. \[ 72 + 2 = 74 \]
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Place the result over the original denominator (9). \[ \frac{74}{9} \]
Therefore, \( 8 \frac{2}{9} = \frac{74}{9} \).
So the answer is: \[ 8 \frac{2}{9} = \frac{74}{9} \]