Answer
$\dfrac{1}{2}$
Work Step by Step
Using order of operations, the given expression, $
(150-10^2)\div(25\cdot4)
$, simplifies to
\begin{array}{l}\require{cancel}
(150-100)\div(100)
\\\\=
50\div100
\\\\=
\dfrac{50}{100}
\\\\=
\dfrac{1}{2}
.\end{array}