\( \left. \begin{array} { | c | } \hline 12 : 15 \\ \hline 20 : 25 \\ \hline 32 : 60 \\ \hline \end{array} \right. \)

It looks like you have provided a table with ratios. Let's analyze the ratios given: 1. \( 12 : 15 \) 2. \( 20 : 25 \) 3. \( 32 : 60 \) To simplify these ratios, we can divide both sides of each ratio by their greatest common divisor (GCD). 1. For \( 12 : 15 \): - The GCD of 12 and 15 is 3. - Simplifying gives \( \frac{12}{3} : \frac{15}{3} = 4 : 5 \). 2. For \( 20 : 25 \): - The GCD of 20 and 25 is 5. - Simplifying gives \( \frac{20}{5} : \frac{25}{5} = 4 : 5 \). 3. For \( 32 : 60 \): - The GCD of 32 and 60 is 4. - Simplifying gives \( \frac{32}{4} : \frac{60}{4} = 8 : 15 \). Now, we can summarize the simplified ratios: - \( 12 : 15 \) simplifies to \( 4 : 5 \) - \( 20 : 25 \) simplifies to \( 4 : 5 \) - \( 32 : 60 \) simplifies to \( 8 : 15 \) If you have a specific question or need further analysis regarding these ratios, please let me know!