1. **State the problem:** We need to evaluate three fractions: $$\frac{18^3}{0.395}, \quad \frac{0.28 \times 37.4}{77.8}, \quad \frac{63.7 \times \sqrt{3.93}}{0.425}$$ 2. **Recall formulas and rules:** - Exponentiation: $a^b$ means multiplying $a$ by itself $b$ times. - Multiplication and division follow standard arithmetic rules. - Square root $\sqrt{x}$ is the number which when squared gives $x$. 3. **Calculate each fraction step-by-step:** **First fraction:** - Calculate $18^3 = 18 \times 18 \times 18 = 5832$ - Divide by $0.395$: $$\frac{5832}{0.395} \approx 14770.89$$ **Second fraction:** - Multiply numerator: $0.28 \times 37.4 = 10.472$ - Divide by denominator: $$\frac{10.472}{77.8} \approx 0.1346$$ **Third fraction:** - Calculate square root: $\sqrt{3.93} \approx 1.9824$ - Multiply numerator: $63.7 \times 1.9824 \approx 126.28$ - Divide by denominator: $$\frac{126.28}{0.425} \approx 297.12$$ 4. **Final answers:** - First fraction: $14770.89$ - Second fraction: $0.1346$ - Third fraction: $297.12$