Find 3 ratios that are equivalent to the given ratio. \( 8: 14 \) Find three ratios that are equivalent to the given ratio. \( \begin{array}{ll}\square \text { A. } 24: 42 & \square \text { B. } 16: 42 \\ \square \text { C. } 4: 7 & \square \text { D. } 4: 28 \\ \square \text { E. } 24: 7 & \square \text { F. } 16: 28 \\ \square \text { G. } 16: 7 & \square \text { H. } 4: 42\end{array} \)

To find ratios equivalent to \( 8 : 14 \), we first simplify the given ratio: \[ 8 : 14 = \frac{8}{14} = \frac{4}{7} \] Equivalent ratios will reduce to \( 4 : 7 \). Let's evaluate each option: 1. **A. \( 24 : 42 \)** \[ \frac{24}{42} = \frac{4}{7} \quad (\text{Equivalent}) \] 2. **B. \( 16 : 42 \)** \[ \frac{16}{42} = \frac{8}{21} \quad (\text{Not Equivalent}) \] 3. **C. \( 4 : 7 \)** \[ \frac{4}{7} = \frac{4}{7} \quad (\text{Equivalent}) \] 4. **D. \( 4 : 28 \)** \[ \frac{4}{28} = \frac{1}{7} \quad (\text{Not Equivalent}) \] 5. **E. \( 24 : 7 \)** \[ \frac{24}{7} \quad (\text{Not Equivalent}) \] 6. **F. \( 16 : 28 \)** \[ \frac{16}{28} = \frac{4}{7} \quad (\text{Equivalent}) \] 7. **G. \( 16 : 7 \)** \[ \frac{16}{7} \quad (\text{Not Equivalent}) \] 8. **H. \( 4 : 42 \)** \[ \frac{4}{42} = \frac{2}{21} \quad (\text{Not Equivalent}) \] **Equivalent Ratios:** - **A. \( 24 : 42 \)** - **C. \( 4 : 7 \)** - **F. \( 16 : 28 \)** These three ratios simplify to \( 4 : 7 \), making them equivalent to the original ratio \( 8 : 14 \).