The expression \(2 \times 6 : 3 \times 6\) can be interpreted as follows:
First, calculate \(2 \times 6\): \[ 2 \times 6 = 12 \]
Then calculate \(3 \times 6\): \[ 3 \times 6 = 18 \]
Now, we need to find the ratio \(12 : 18\). To simplify this ratio, we can divide both numbers by their greatest common divisor, which is \(6\):
\[ \frac{12}{6} : \frac{18}{6} = 2 : 3 \]
Thus, the simplified form of \(2 \times 6 : 3 \times 6\) is \(2 : 3\).
