Given the expression:
[tex]\text{ 1/5 }\div\text{ 4}[/tex]Let's determine the quotient:
Step 1: Transform the whole number into the fractional form.
[tex]\text{ 1/5 }\div\text{ 4 = }\frac{1}{5}\text{ }\div\text{ }\frac{4}{1}[/tex]Step 2: Transpose the division into multiplication and reciprocate 4/1.
[tex]\frac{1}{5}\text{ }\div\text{ }\frac{4}{1}[/tex][tex]=\text{ }\frac{1}{5}\text{ x }\frac{1}{4}[/tex][tex]\text{ = }\frac{1}{20}[/tex]Therefore, the answer is 1/20.