Final answer:
To solve 1/2(x + 4) + 1/4(4x -2), distribute the fractions across the terms, combine like terms, and express the result as 1.5x + 1 1/2 in mixed number form.
Step-by-step explanation:
To solve the problem Add 1/2(x + 4) + 1/4(4x -2), you need to perform the operations inside the parentheses first, and then deal with the fractions.
- Start by distributing the fractions: (1/2) * x + (1/2) * 4 + (1/4) * 4x - (1/4) * 2.
- Simplify the terms: 1/2x + 2 + x - 1/2.
- Combine like terms: (1/2x + x) + (2 - 1/2).
- Since 1/2x is the same as 0.5x, you can add this to x to get 1.5x.
- Now, solve 2 - 1/2, which is 1.5 or 1 1/2 when expressed as a mixed number.
- The final expression is 1.5x + 1 1/2.
The answer in mixed number form is 1.5x + 1 1/2.