add: 1/2(x + 4) +1/4 (4x - 2). answer should be in mixed number from.
To add 1/2(x + 4) + 1/4(4x - 2) and write the answer in mixed number form, we need to simplify the expression and combine like terms.
First, distribute the fractions:
1/2(x + 4) + 1/4(4x - 2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= 1/2x + 2/2 + 4/4x - 2/4
Next, simplify the fractions:
1/2x + 2/2 + 4/4x - 2/4
= 1/2x + 1 + x - 1/2
Combine like terms:
1/2x + x + 1 - 1/2
= 1/2x + 2/2x + 1 - 1/2
= (1/2x + 2/2x) + 1 - 1/2
= (3/2x) + 1 - 1/2
= (3/2x) + 1/1 - 1/2
= (3/2x) + (2/2) - (1/2)
= (3/2x + 2/2 - 1/2)
= (3/2x + 1/2)
Since the coefficient of x is 3/2, we can simplify it by dividing the numerator by the denominator:
3/2x + 1/2
= 1 1/2x + 1/2
Therefore, the final answer in mixed number form is 1 1/2x + 1/2.