Which ratios are equivalent to $$ 2: 3 $$ ? * $$ 4: 6 $$ $$ 6: 4 $$ 1 to 3 6 to 9

Question

UpStudy AI · Accepted Answer

To determine which ratios are equivalent to $$ 2:3 $$, we can compare each given ratio by simplifying them to see if they equal $$ \frac{2}{3} $$.

1. **For $$ 4:6 $$**:
   $$
   \frac{4}{6} = \frac{4 \div 2}{6 \div 2} = \frac{2}{3}
   $$
   This ratio is equivalent to $$ 2:3 $$.

2. **For $$ 6:4 $$**:
   $$
   \frac{6}{4} = \frac{6 \div 2}{4 \div 2} = \frac{3}{2}
   $$
   This ratio is not equivalent to $$ 2:3 $$.

3. **For $$ 1 \text{ to } 3 $$**:
   $$
   \frac{1}{3}
   $$
   This ratio is not equivalent to $$ 2:3 $$.

4. **For $$ 6:9 $$**:
   $$
   \frac{6}{9} = \frac{6 \div 3}{9 \div 3} = \frac{2}{3}
   $$
   This ratio is equivalent to $$ 2:3 $$.

In conclusion, the ratios equivalent to $$ 2:3 $$ are:
- $$ 4:6 $$
- $$ 6:9 $$
The ratios equivalent to $$ 2:3 $$ are $$ 4:6 $$ and $$ 6:9 $$.

Which ratios are equivalent to \( 2: 3 \) ? * \( 4: 6 \) \( 6: 4 \) 1 to 3 6 to 9