Answer
$\frac{1}{4}$
Work Step by Step
Two numbers that are the same distance from 0 but lie on opposite sides of 0 are called opposites of each other. Furthermore, we know that the sum of a number $a$ and its opposite $-a$ is 0.
Therefore, the opposite of $-\frac{1}{4}$ is $\frac{1}{4}$, because $-\frac{1}{4}+\frac{1}{4}=\frac{1}{4}-\frac{1}{4}=0$.