To multiply \( \frac{3}{16} \) by 4, you can rewrite 4 as a fraction:
\[ 4 = \frac{4}{1} \]
Now multiply the two fractions:
\[ \frac{3}{16} \times \frac{4}{1} = \frac{3 \times 4}{16 \times 1} = \frac{12}{16} \]
Next, simplify \( \frac{12}{16} \) by dividing both the numerator and denominator by their greatest common divisor, which is 4:
\[ \frac{12 \div 4}{16 \div 4} = \frac{3}{4} \]
Thus, the answer in simplest form is:
\[ \frac{3}{4} \]