L) Convert the following number to a percent. \[ 4 \frac{9}{17} \]

To convert the mixed number \( 4 \frac{9}{17} \) to a percent, we will follow these steps: 1. **Convert the mixed number to an improper fraction.** - The whole number part is \( 4 \). - The fractional part is \( \frac{9}{17} \). - To convert to an improper fraction, we multiply the whole number by the denominator and add the numerator: \[ \text{Improper fraction} = 4 \times 17 + 9 = 68 + 9 = 77 \] - Thus, \( 4 \frac{9}{17} = \frac{77}{17} \). 2. **Convert the improper fraction to a decimal.** - We divide the numerator by the denominator: \[ \frac{77}{17} \approx 4.529411764705882 \] 3. **Convert the decimal to a percent.** - To convert a decimal to a percent, we multiply by \( 100 \): \[ 4.529411764705882 \times 100 \approx 452.9411764705882 \] 4. **Round the result to two decimal places.** - Rounding \( 452.9411764705882 \) gives us \( 452.94\% \). Thus, the final answer is: \[ 4 \frac{9}{17} \approx 452.94\% \]