\begin{tabular}{l} Find three ratios that are equivalent to \( \frac{2}{3} \). \\ \( \square \) A. \( \frac{9}{6} \) \\ \( \square \) D. \( \frac{3}{4} \) \\ \( \square \) B. \( \frac{4}{6} \) \\ \( \square \) C. \( \frac{10}{18} \) \\ \hline\end{tabular}

To determine which ratios are equivalent to \( \frac{2}{3} \), we'll simplify each option and compare it to \( \frac{2}{3} \). ### Given Ratios: - **A. \( \frac{9}{6} \)** - **B. \( \frac{4}{6} \)** - **C. \( \frac{10}{18} \)** - **D. \( \frac{3}{4} \)** ### Simplification and Comparison: 1. **Option A: \( \frac{9}{6} \)** - **Simplify:** \( \frac{9 \div 3}{6 \div 3} = \frac{3}{2} \) - **Comparison:** \( \frac{3}{2} \) is **not** equal to \( \frac{2}{3} \). 2. **Option B: \( \frac{4}{6} \)** - **Simplify:** \( \frac{4 \div 2}{6 \div 2} = \frac{2}{3} \) - **Comparison:** \( \frac{2}{3} \) **is equal** to \( \frac{2}{3} \). 3. **Option C: \( \frac{10}{18} \)** - **Simplify:** \( \frac{10 \div 2}{18 \div 2} = \frac{5}{9} \) - **Comparison:** \( \frac{5}{9} \) is **not** equal to \( \frac{2}{3} \). 4. **Option D: \( \frac{3}{4} \)** - **Simplify:** \( \frac{3}{4} \) is already in its simplest form. - **Comparison:** \( \frac{3}{4} \) is **not** equal to \( \frac{2}{3} \). ### Conclusion: Only **Option B (\( \frac{4}{6} \))** is equivalent to \( \frac{2}{3} \). --- If the intention is to find **three** equivalent ratios, none of the other provided options satisfy this condition based on the simplifications above. You might want to check if there are additional options or if there was a typographical error in the given ratios.