To simplify the expression \( 14 \times 4 : 12 \), you can first multiply \( 14 \) by \( 4 \):
\[ 14 \times 4 = 56 \]
Now you have:
\[ 56 : 12 \]
This can also be written as a fraction:
\[ \frac{56}{12} \]
Next, simplify the fraction by finding the greatest common divisor (GCD) of \( 56 \) and \( 12 \). The GCD is \( 4 \).
Now divide both the numerator and the denominator by \( 4 \):
\[ \frac{56 \div 4}{12 \div 4} = \frac{14}{3} \]
Therefore, \( 14 \times 4 : 12 \) simplifies to:
\[ \frac{14}{3} \] or approximately \( 4.67 \) when expressed as a decimal.