Simplify Expression 2Bab6B

1. **State the problem:** Simplify the expression $$15 \cdot 24 \cdot 40 \div 15 \cdot 40 \div 24$$. 2. **Rewrite the expression clearly:** $$\frac{15 \times 24 \times 40}{15} \times \frac{40}{24}$$ 3. **Simplify step-by-step:** - Cancel the common factor $$15$$ in numerator and denominator: $$\frac{\cancel{15} \times 24 \times 40}{\cancel{15}} \times \frac{40}{24} = 24 \times 40 \times \frac{40}{24}$$ - Now the expression is: $$24 \times 40 \times \frac{40}{24}$$ - Cancel the common factor $$24$$ in numerator and denominator: $$\cancel{24} \times 40 \times \frac{40}{\cancel{24}} = 40 \times 40$$ 4. **Calculate the final multiplication:** $$40 \times 40 = 1600$$ 5. **Final answer:** $$\boxed{1600}$$