#### Answer

$\frac{1}{16}$

#### Work Step by Step

$\frac{1}{1}$,$\frac{1}{2}$,$\frac{1}{4}$,$\frac{1}{8}$
In the above pattern, denominator of the next fraction is obtained by multiplying the previous fractions denominator by 2
So, next number is $\frac{1}{8 * 2}$ = $\frac{1}{16}$