1. The problem states: Half of a number is 8. We need to find a quarter of that number. 2. Let the number be $x$. 3. Half of the number means $\frac{x}{2} = 8$. 4. To find $x$, multiply both sides by 2: $$x = 8 \times 2 = 16$$ 5. A quarter of the number means $\frac{x}{4}$. 6. Substitute $x = 16$: $$\frac{16}{4} = 4$$ 7. Therefore, a quarter of the number is 4. This means if half of a number is 8, then a quarter of the number is 4.