1. **State the problem:** Simplify the expression $30 \times 5 \div 15 \times 3 + 48 \div 6$. 2. **Recall the order of operations:** Multiplication and division are performed from left to right before addition. 3. **Perform the operations step-by-step:** - Calculate $30 \times 5 = 150$. - Then divide by 15: $$\frac{150}{15} = 10$$. - Multiply by 3: $10 \times 3 = 30$. - Calculate $48 \div 6 = 8$. - Finally, add the two results: $30 + 8 = 38$. 4. **Final answer:** $38$.