Add: 1/2(x+4)+1/4(4x−2) Answer should be in mixed number form
To simplify 1/2(x+4)+1/4(4x-2), we start by distributing the fractions:
1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
This simplifies to:
x/2 + 2/2 + 4x/4 - 2/4
The fraction 2/2 is equal to 1, and 4x/4 simplifies to x:
x/2 + 1 + x - 1/2
Combining like terms, we have:
x/2 + x + 1 - 1/2
To add the fractions together, we need to find a common denominator, which in this case is 2:
(x + 2x + 2 - 1)/2
Combining the terms, we have:
(3x + 1)/2
Since the numerator is greater than the denominator, we can rewrite this as a mixed number:
1 1/2x