The problem asks us to choose all the ratios that are equivalent to the ratio $6:12$ from a given list of ratios.

1. Problem Description

The problem asks us to choose all the ratios that are equivalent to the ratio $6:12$ from a given list of ratios.

2. Solution Steps

To determine if a ratio is equivalent to $6:12$, we can simplify the given ratio and compare it to the simplified form of $6:12$. First, we simplify $6:12$ by dividing both sides by their greatest common divisor, which is

6. $$6:12 = \frac{6}{6} : \frac{12}{6} = 1:2$$

So, we need to check which of the given ratios simplify to $1:2$.

* $4:10 = \frac{4}{2} : \frac{10}{2} = 2:5$. This is not equal to $1:2$.

* $5:11$. This is already in its simplest form and is not equal to $1:2$.

* $1:2$. This is equal to $1:2$.

* $18:36 = \frac{18}{18} : \frac{36}{18} = 1:2$. This is equal to $1:2$.

* $24:48 = \frac{24}{24} : \frac{48}{24} = 1:2$. This is equal to $1:2$.

3. Final Answer

The ratios equivalent to $6:12$ are $1:2$, $18:36$, and $24:48$.