1. **State the problem:** Calculate the value of the expression $600 + \frac{600}{4}$.\n\n2. **Recall the order of operations:** According to the order of operations (PEMDAS/BODMAS), division is performed before addition.\n\n3. **Perform the division first:**\n$$\frac{600}{4} = 150$$\n\n4. **Substitute back into the expression:**\n$$600 + 150$$\n\n5. **Perform the addition:**\n$$600 + 150 = 750$$\n\n**Final answer:** $750$