Add 1/2(x+4) + 1/4(4z-2) in mixed form
To add 1/2(x+4) + 1/4(4z-2) in mixed form, first distribute the fractions:
1/2(x+4) + 1/4(4z-2) = (1/2*x + 1/2*4) + (1/4*4z - 1/4*2)
Simplifying the distributed fractions:
(1/2*x + 2) + (z - 1/2)
Now, we combine like terms:
1/2*x + 2 + z - 1/2
Next, simplify the fractions:
(1/2*x - 1/2) + z + 2
Now, let's find a common denominator to combine the fractions:
(1/2*x - 1/2) + z + 2 = (1/2*x - 1/2) + (2z/2) + (4/2)
Combining like terms:
(1/2*x - 1/2 + 2z/2 + 4/2) + z
Simplifying the fractions:
(1/2*x - 1/2 + z + 2) + z
Combining the whole numbers and fractions:
(x/2 + 3/2) + 2z
So, 1/2(x+4) + 1/4(4z-2) in mixed form is (x/2 + 3/2) + 2z.