1. **State the problem:** Simplify the expression $10 + \left(\frac{27}{3} \times 12\right) - 6 \times 4$ and express the result as a fraction in lowest terms. 2. **Apply order of operations:** First, calculate the division and multiplication inside the parentheses. 3. Calculate $\frac{27}{3} = 9$. 4. Multiply $9 \times 12 = 108$. 5. Substitute back: $10 + 108 - 6 \times 4$. 6. Calculate $6 \times 4 = 24$. 7. Substitute back: $10 + 108 - 24$. 8. Perform addition and subtraction from left to right: $10 + 108 = 118$. 9. Then $118 - 24 = 94$. 10. Express $94$ as a fraction: $\frac{94}{1}$. 11. Simplify fraction if possible. Since $94 = 2 \times 47$ and $1$ is denominator, fraction is already in lowest terms. **Final answer:** $\frac{94}{1}$ or simply $94$.