To convert \(2 \frac{8}{32}\) into a percentage, follow these steps:
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Convert the mixed number to an improper fraction: \[ 2 \frac{8}{32} = 2 + \frac{8}{32} = \frac{2 \times 32 + 8}{32} = \frac{64 + 8}{32} = \frac{72}{32} \]
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Simplify the fraction: \[ \frac{72}{32} = \frac{72 \div 8}{32 \div 8} = \frac{9}{4} \]
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Convert the fraction to a decimal: \[ \frac{9}{4} = 2.25 \]
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Convert the decimal to a percentage: \[ 2.25 \times 100 = 225% \]
So, \(2 \frac{8}{32}\) as a percentage is 225%.