(b) Express the following percentages as fractions: \( \begin{array}{llll}\text { (1) } 25 \% & \text { (2) } 60 \% & \text { (3) } 12 \frac{1}{2} \% & \text { (4) } 125 \%\end{array} \) (c) Express the following fractions as percentages: \( \begin{array}{llll}\text { (1) } \frac{3}{4} & \text { (2) } \frac{7}{10} & \text { (3) } \frac{6}{5} & \text { (4) } 4 \frac{1}{2}\end{array} \) (d) Complete \( \begin{array}{llll}\text { (1) } 20 \text { is } \ldots \% \text { of } 50 ? & \text { (2) } 24 \text { is } \ldots \% \text { of } 30 ? & \text { (3) } 115 \text { is } \ldots \% \text { of } 50 ? \\ \text { (4) } 30 \text { is } \ldots \% \text { of } 20 ? & \text { (5) } \frac{2}{3} \text { is } \ldots \% \text { of } \frac{5}{6} & \text { (6) } \frac{11}{25} \text { is } \ldots \% \text { of } 2 \frac{1}{5}\end{array} \)

**(b) Express the following percentages as fractions** 1. \(25\%\) Write as a fraction: \[ 25\%=\frac{25}{100}=\frac{1}{4} \] 2. \(60\%\) Write as a fraction: \[ 60\%=\frac{60}{100}=\frac{3}{5} \] 3. \(12\frac{1}{2}\%\) Convert the mixed number to an improper fraction: \[ 12\frac{1}{2}\%=\frac{25}{2}\%=\frac{\frac{25}{2}}{100}=\frac{25}{200}=\frac{1}{8} \] 4. \(125\%\) Write as a fraction: \[ 125\%=\frac{125}{100}=\frac{5}{4} \] **(c) Express the following fractions as percentages** 1. \(\frac{3}{4}\) Convert to a percentage: \[ \frac{3}{4}\times100\%=75\% \] 2. \(\frac{7}{10}\) Convert to a percentage: \[ \frac{7}{10}\times100\%=70\% \] 3. \(\frac{6}{5}\) Convert to a percentage: \[ \frac{6}{5}\times100\%=120\% \] 4. \(4\frac{1}{2}\) Convert the mixed number to an improper fraction: \[ 4\frac{1}{2}=\frac{9}{2} \] Then convert to a percentage: \[ \frac{9}{2}\times100\%=450\% \] **(d) Complete the following** 1. \(20\) is \(\ldots \%\) of \(50\)? Set up the relation: \[ \frac{20}{50}\times100\% = 40\% \] 2. \(24\) is \(\ldots \%\) of \(30\)? Set up the relation: \[ \frac{24}{30}\times100\% = 80\% \] 3. \(115\) is \(\ldots \%\) of \(50\)? Set up the relation: \[ \frac{115}{50}\times100\% = 230\% \] 4. \(30\) is \(\ldots \%\) of \(20\)? Set up the relation: \[ \frac{30}{20}\times100\% = 150\% \] 5. \(\frac{2}{3}\) is \(\ldots \%\) of \(\frac{5}{6}\)? Set up the relation: \[ \frac{\frac{2}{3}}{\frac{5}{6}}\times100\% = \frac{2}{3}\times\frac{6}{5}\times100\% = \frac{12}{15}\times100\% = \frac{4}{5}\times100\% = 80\% \] 6. \(\frac{11}{25}\) is \(\ldots \%\) of \(2\frac{1}{5}\)? First, express \(2\frac{1}{5}\) as an improper fraction: \[ 2\frac{1}{5}=\frac{11}{5} \] Then set up the relation: \[ \frac{\frac{11}{25}}{\frac{11}{5}}\times100\% = \frac{11}{25}\times\frac{5}{11}\times100\% = \frac{5}{25}\times100\% = \frac{1}{5}\times100\% = 20\% \]