1. **State the problem:** Simplify the expression $\frac{30}{5 + \frac{15}{3}}$. 2. **Recall the order of operations:** Always perform operations inside parentheses first, then division and multiplication from left to right. 3. **Simplify inside the denominator:** Calculate $\frac{15}{3}$. $$\frac{15}{3} = 5$$ 4. **Substitute back into the denominator:** $$5 + 5 = 10$$ 5. **Rewrite the original expression:** $$\frac{30}{10}$$ 6. **Simplify the fraction:** $$\frac{\cancel{30}^{3}}{\cancel{10}^{1}} = 3$$ 7. **Final answer:** $$3$$