1. **State the problem:** Simplify the expression $10 + \left(\frac{27}{3} \times 12\right) - 6(4)$ and express the result with fractions in lowest terms. 2. **Recall order of operations:** We perform operations inside parentheses first, then multiplication and division from left to right, and finally addition and subtraction. 3. **Simplify inside the parentheses:** Calculate $\frac{27}{3}$ first. $$\frac{27}{3} = 9$$ 4. **Multiply the result by 12:** $$9 \times 12 = 108$$ 5. **Rewrite the expression:** $$10 + 108 - 6(4)$$ 6. **Calculate $6(4)$:** $$6 \times 4 = 24$$ 7. **Rewrite the expression:** $$10 + 108 - 24$$ 8. **Perform addition and subtraction from left to right:** $$10 + 108 = 118$$ 9. **Subtract 24:** $$118 - 24 = 94$$ 10. **Express the final answer as a fraction in lowest terms:** $$94 = \frac{94}{1}$$ which is already in lowest terms. **Final answer:** $\frac{94}{1}$ or simply 94.