Final answer:
The expression 15.0 / 4.0 + (8 + 3.0) is evaluated by following the order of operations: first execute operation within parentheses (8+3.0=11.0), then perform the division (15.0 / 4.0 = 3.75), and finally add these results together (3.75 + 11.0 = 14.75).
Step-by-step explanation:
To evaluate the expression 15.0 / 4.0 + (8 + 3.0), you won't only need to perform the operations, but also respect the order of operations, typically remembered with the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
Firstly, you have to solve the expression within the parentheses, which is (8 + 3.0). The result is 11.0.
Next, you perform the division operation 15.0 / 4.0, which gives 3.75.
Finally, you add these two results together. Therefore, the expression 15.0 / 4.0 + (8 + 3.0) simplifies to 3.75 + 11.0, which equals 14.75.
Learn more about Order of Operations