Simplify:  $4\times \frac{1}{6}$

To multiply a whole number with a proper or an improper fraction, we multiply the whole number with the numerator of the fraction, keeping the denominator the same.

Therefore,

$4\times \frac{1}{6}=\frac{4\times 1}{6}=\frac{4}{6}=\frac{2}{3}$