To simplify the expression 1/2 (x + 4) + 1/4 (4x - 2), we can start by distributing the coefficients inside the parentheses:
1/2 (x + 4) + 1/4 (4x - 2) = (1/2) * x + (1/2) * 4 + (1/4) * 4x + (1/4) * (-2)
Simplifying further, we have:
= (1/2) * x + 2/2 + (1/4) * 4x - (1/4) * 2
= (1/2) * x + 2/2 + (1 * x) - (1/2)
= (1/2) * x + 1 + x - (1/2)
To combine like terms, we can add the coefficients of x:
= (1/2 + 1) * x + (1 + (-1/2))
= (3/2) * x + 1/2
Therefore, the simplified expression is (3/2) * x + 1/2.
It is not equal to 1 1/2 + 1.50, as they represent different forms of the expression.
1/2 (x + 4) + 1/4 (4x - 2)
I think that the answer is 1 1/2 + 1.50
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