Final answer:
The solution to the equation 3/4 x (4 - 1/2) - 7/8 + .5 is 3 3/4.
Step-by-step explanation:
To determine the solution to the equation: 3/4 x (4 - 1/2) - 7/8 + .5, we can follow the order of operations (PEMDAS). First, we simplify within the parentheses: 4 - 1/2 = 3 1/2 = 7/2. Next, we multiply 3/4 by 7/2, which is 21/8. Then, we subtract 7/8 from 21/8, which gives us 14/8 or 7/4 as a result. Finally, we add 7/4 to 0.5, which equals 15/4 or 3 3/4. Therefore, the solution to the equation is 3 3/4.