The problem asks us to select all ratios that are equivalent to the ratio 15:9. The given options are 13:6, 5:3, and 45:27.

1. Problem Description

The problem asks us to select all ratios that are equivalent to the ratio 15:

9. The given options are 13:6, 5:3, and 45:

2

7.

2. Solution Steps

First, simplify the given ratio 15:9 by dividing both numbers by their greatest common divisor, which is

3. $15 \div 3 = 5$

$9 \div 3 = 3$

So, $15:9$ simplifies to $5:3$.

Now, we check the other ratios.

Ratio 1: 13:

6. This is not equal to 5:

3. Ratio 2: 5:

3. This is equal to 5:

3. Ratio 3: 45:

2

7. Divide both numbers by their greatest common divisor, which is

9. $45 \div 9 = 5$

$27 \div 9 = 3$

So, $45:27$ simplifies to $5:3$.

Therefore, the ratios equivalent to 15:9 are 5:3 and 45:

2

7.

3. Final Answer

The ratios equivalent to 15:9 are 5:3 and 45:27.