1. The problem asks to express $\sin 30^\circ$ as a fraction. 2. Recall the special angle values for sine: $\sin 30^\circ = \frac{1}{2}$. 3. This is a fundamental trigonometric value often memorized or derived from an equilateral triangle split in half. 4. Therefore, $\sin 30^\circ = \frac{1}{2}$.