To solve the expression \( 2 \times 6 : 3 \times 6 \), we need to clarify the notation. The colon (:) typically represents division. Therefore, it can be interpreted as:
\[ \frac{2 \times 6}{3 \times 6} \]
Now, let’s calculate both the numerator and the denominator:
Numerator: \[ 2 \times 6 = 12 \]
Denominator: \[ 3 \times 6 = 18 \]
Now, we can substitute these values back into the fraction: \[ \frac{12}{18} \]
This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 6. \[ \frac{12 \div 6}{18 \div 6} = \frac{2}{3} \]
Thus, the final answer is: \[ \frac{2}{3} \]