Add 1/2(x+4)+1/4(4x-2)
add doont simplify
1/2(x+4)+1/4(4x-2)
= 1/2 x + 2 + x - 1/2
= 3/2 x + 3/2
Apologies for the previous incorrect response. You are correct in simplifying the expression.
1/2(x+4) + 1/4(4x-2)
= 1/2 x + 2 + x - 1/2
= (1/2 + 1) x + (2 - 1/2)
= 3/2 x + 3/2
Therefore, the sum of 1/2(x+4) + 1/4(4x-2) is (3/2)x + (3/2).
To add the expression 1/2(x+4) + 1/4(4x-2) without simplifying, we can follow these steps:
Step 1: Expand the expression within the parentheses.
1/2(x+4) + 1/4(4x-2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
Step 2: Combine like terms.
= (1/2 * x + 1/4 * 4x) + (1/2 * 4 - 1/4 * 2)
= (1/2x + 1/2x) + (2 - 1/2)
= 1x + 1x + 2 - 1/2
Step 3: Simplify the expression.
= 2x + 2 - 1/2
= 2x + 2 - 0.5
= 2x + 1.5
So, the sum of 1/2(x+4) + 1/4(4x-2) without simplifying is 2x + 1.5.
The expression 1/2(x+4) + 1/4(4x-2) cannot be simplified since the fractions have different denominators. However, we can combine like terms by multiplying each term by the common denominator.
1/2(x+4) + 1/4(4x-2)
= (1/2)*(4)(x+4) + (1/4)*(2)(4x-2)
= (2/4)(x+4) + (2/4)(4x-2)
= (2x + 8)/4 + (8x - 4)/4
= (2x + 8 + 8x - 4)/4
= (10x + 4)/4
Therefore, the sum of 1/2(x+4) + 1/4(4x-2) without simplifying is (10x + 4)/4.