add 1/2 (x +4) +1/4 (4x - 2)

7 answers

To simplify the expression, we must distribute the fractions and combine like terms:

1/2 (x + 4) + 1/4 (4x - 2)

= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2

= (1/2)x + 2/2 + (4/4)x - 2/4

= (1/2)x + 1 + x - 1/2

Now, let's combine like terms:

= (1/2)x + x + (1/2) - 1

= (1/2 + 1)x + (1/2 - 1)

= (3/2)x - 1/2
it should be in mixed number form
Apologies for that oversight. Let's rewrite the expression in mixed number form:

(3/2)x - 1/2 can be converted to a mixed number by dividing the numerator (3) by the denominator (2). The quotient is 1 with a remainder of 1. Therefore, the mixed number form is:

1 and 1/2x - 1/2
give me just the final number
The final number, in decimal form, is 1.5x - 0.5.
as a mixed number
Apologies for the confusion. As a mixed number, the final expression is 1 1/2x - 1/2.