Find 3 ratios that are equivalent to the given ratio. Find 3 ratios that are equivalent to the given ratio. \( \begin{array}{ll}\frac{5}{7} \\ \square \text { A. } \frac{15}{28} & \square \text { B. } \frac{10}{21} \\ \square \text { C. } \frac{20}{28} & \square \text { D. } \frac{15}{14} \\ \square \text { E. } \frac{15}{21} & \square \text { F. } \frac{10}{28} \\ \square \text { G. } \frac{20}{21} & \square \text { H. } \frac{10}{14}\end{array} \)

To find ratios equivalent to \( \frac{5}{7} \), we can multiply both the numerator and the denominator by the same number. Equivalent ratios maintain the same value as the original ratio. Here's how to identify them: 1. **Multiply by 3:** \[ \frac{5 \times 3}{7 \times 3} = \frac{15}{21} \] - **Equivalent Ratio:** \( \frac{15}{21} \) → **Option E** 2. **Multiply by 2:** \[ \frac{5 \times 2}{7 \times 2} = \frac{10}{14} \] - **Equivalent Ratio:** \( \frac{10}{14} \) → **Option H** 3. **Multiply by 4:** \[ \frac{5 \times 4}{7 \times 4} = \frac{20}{28} \] - **Equivalent Ratio:** \( \frac{20}{28} \) → **Option C** **Therefore, the three equivalent ratios are:** - **C.** \( \frac{20}{28} \) - **E.** \( \frac{15}{21} \) - **H.** \( \frac{10}{14} \)