Answer
$\frac{1}{2}$
Work Step by Step
$\frac{1}{8} \div \frac{1}{4}$
Change division to multiplication. Invert $\frac{1}{4}$ and write its reciprocal.
$\frac{1}{8}$ * $\frac{4}{1}$ = $\frac{1*4}{8*1}$ = $\frac{4}{8}$
Since 4 is the greatest common factor of 4 and 8, divide numerator and denominator by 4
$\frac{1*4}{2*4}$ = $\frac{1}{2}$