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

1 answer

To simplify the expression, we need to first distribute the fractions into the parentheses.

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

= 1/2x + 1 + x - 1/2

= 1/2x + x + 1 - 1/2

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

= (3/2x) + (1/2)

So, 1/2(x + 4) + 1/4(4x - 2) simplifies to (3/2x) + (1/2).