Let's simplify the given expression step by step:

\(\frac{\sqrt{98} - \sqrt{50}}{\sqrt{32}}\)

First, let's simplify the square roots:

\(\sqrt{98} = \sqrt{49 \cdot 2} = \sqrt{49} \cdot \sqrt{2} = 7\sqrt{2}\)

\(\sqrt{50} = \sqrt{25 \cdot 2} = \sqrt{25} \cdot \sqrt{2} = 5\sqrt{2}\)

\(\sqrt{32} = \sqrt{16 \cdot 2} = \sqrt{16} \cdot \sqrt{2} = 4\sqrt{2}\)

Now, substitute these values back into the original expression:

\(\frac{7\sqrt{2} - 5\sqrt{2}}{4\sqrt{2}}\)

Simplify the numerator:

\(2\sqrt{2}\)

Now, substitute the simplified numerator back into the expression:

\(\frac{2\sqrt{2}}{4\sqrt{2}}\)

Simplify by canceling out the common factor:

\(\frac{2}{4}=frac{1}{2}\)