1. The problem is to compare the fractions $\frac{0.25}{36}$ and $0.375$ to determine which is greater. 2. First, convert the decimal $0.25$ to a fraction: $0.25 = \frac{1}{4}$. 3. So, $\frac{0.25}{36} = \frac{\frac{1}{4}}{36} = \frac{1}{4} \times \frac{1}{36} = \frac{1}{144}$. 4. Now compare $\frac{1}{144}$ and $0.375$. 5. Convert $0.375$ to a fraction: $0.375 = \frac{3}{8}$. 6. To compare $\frac{1}{144}$ and $\frac{3}{8}$, find a common denominator: $144$ and $8$ have least common denominator $144$. 7. Convert $\frac{3}{8}$ to denominator $144$: $\frac{3}{8} = \frac{3 \times 18}{8 \times 18} = \frac{54}{144}$. 8. Now compare $\frac{1}{144}$ and $\frac{54}{144}$. 9. Since $1 < 54$, we have $\frac{1}{144} < \frac{54}{144}$. 10. Therefore, $\frac{0.25}{36} < 0.375$. Final answer: $\frac{0.25}{36} < 0.375$.