Answer
$\frac{1}{4}$
Work Step by Step
To simplify this expression, we first need to find the common denominator (the LCM) of every denominator, which is $24$. Therefore, we obtain:
$\frac{1}{4}-\frac{3}{8}+\frac{5}{12}-\frac{1}{24}$
=$\frac{1(6)-3(3)+5(2)-1(1)}{24}$
=$\frac{6-9+10-1}{24}$
=$\frac{-3+9}{24}$
=$\frac{6}{24}$
=$\frac{1}{4}$