Solution:
Given:
[tex]\frac{1}{4}\times\frac{6}{11}[/tex][tex]\begin{gathered} \frac{1}{4}\times\frac{6}{11} \\ Multiply\text{ the numerator and denominator of both fractions.} \\ \frac{1}{4}\times\frac{6}{11}=\frac{1\times6}{4\times11} \\ Simplify\text{ further,} \\ \frac{1\times6}{4\times11}=\frac{6}{44} \\ To\text{ the simplest form,} \\ \frac{6}{44}=\frac{3}{22} \end{gathered}[/tex]Therefore, the fraction in its simplest form is;
[tex]\frac{3}{22}[/tex]