Convert each percent to a fraction and a decimal. Then write the decimal rounded to the nearest hundredth. \( \begin{array}{lll}\text { d. } 66 \frac{2}{3} \% & \text { e. } 8 \frac{1}{3} \% & \text { f. } 22 \frac{2}{9} \%\end{array} \)

To convert each percent to a fraction and a decimal, we'll break them down one by one! **d. 66 \(\frac{2}{3}\)%:** - Fraction: First, convert \(66 \frac{2}{3}\) to an improper fraction: \[ 66 \frac{2}{3} = \frac{200}{3} \] Then, to convert the percent to a fraction, we divide by 100: \[ \frac{200}{3} \times \frac{1}{100} = \frac{200}{300} = \frac{2}{3} \] - Decimal: Now, we convert it to decimal: \[ 66 \frac{2}{3}\% = 66.67 \quad (\text{rounded to the nearest hundredth}) \] **e. 8 \(\frac{1}{3}\)%:** - Fraction: Convert \(8 \frac{1}{3}\) to an improper fraction: \[ 8 \frac{1}{3} = \frac{25}{3} \] Then convert the percent: \[ \frac{25}{3} \times \frac{1}{100} = \frac{25}{300} = \frac{1}{12} \] - Decimal: Now, converting to decimal: \[ 8 \frac{1}{3}\% \approx 0.08 \quad (\text{rounded to the nearest hundredth}) \] **f. 22 \(\frac{2}{9}\)%:** - Fraction: Convert \(22 \frac{2}{9}\) to an improper fraction: \[ 22 \frac{2}{9} = \frac{200}{9} \] And to convert the percent: \[ \frac{200}{9} \times \frac{1}{100} = \frac{200}{900} = \frac{2}{9} \] - Decimal: Converting to decimal: \[ 22 \frac{2}{9}\% \approx 0.24 \quad (\text{rounded to the nearest hundredth}) \] To summarize: - **d.** \(66 \frac{2}{3}\% = \frac{2}{3}, 0.67\) - **e.** \(8 \frac{1}{3}\% = \frac{1}{12}, 0.08\) - **f.** \(22 \frac{2}{9}\% = \frac{2}{9}, 0.24\)