2 whole 8 over 32 as a presentage

1 answer

To convert \(2 \frac{8}{32}\) into a percentage, follow these steps:

  1. Convert the mixed number to an improper fraction: \[ 2 \frac{8}{32} = 2 + \frac{8}{32} = \frac{2 \times 32 + 8}{32} = \frac{64 + 8}{32} = \frac{72}{32} \]

  2. Simplify the fraction: \[ \frac{72}{32} = \frac{72 \div 8}{32 \div 8} = \frac{9}{4} \]

  3. Convert the fraction to a decimal: \[ \frac{9}{4} = 2.25 \]

  4. Convert the decimal to a percentage: \[ 2.25 \times 100 = 225% \]

So, \(2 \frac{8}{32}\) as a percentage is 225%.