\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}

Question

UpStudy AI · Accepted Answer

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 $$ \frac{2}{3} $$.

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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.
Only $$ \frac{4}{6} $$ is equivalent to $$ \frac{2}{3} $$.

Find three ratios that are equivalent to .

A.

D.

B.

C.

Upstudy AI Solution

Answer

Solution

Given Ratios:

Simplification and Comparison:

Conclusion:

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