To solve the equation \( 12:67 = x \cdot 3 \), you can rewrite it in fraction form:
\[ \frac{12}{67} = x \cdot 3 \]
To isolate \( x \), divide both sides by 3:
\[ x = \frac{12}{67 \cdot 3} \]
Now calculate \( 67 \cdot 3 \):
\[ 67 \cdot 3 = 201 \]
So now the equation becomes:
\[ x = \frac{12}{201} \]
This fraction can be simplified. The greatest common divisor (GCD) of 12 and 201 is 3. So, dividing the numerator and the denominator by 3:
\[ x = \frac{12 \div 3}{201 \div 3} = \frac{4}{67} \]
Thus, the value of \( x \) is:
\[ x = \frac{4}{67} \]
