1/2(x+4)+1/4(4x−2)
First, let's simplify each term separately.
1/2(x+4) = (1/2)x + (1/2)(4) = 1/2x + 2
1/4(4x−2) = (1/4)(4x) - (1/4)(2) = x - 1/2
Now, let's combine the simplified terms.
1/2x + 2 + x - 1/2
Next, we need to find a common denominator for 2 and 1/2, which is 2. So we multiply 2 by 1/2 to make it have the same denominator.
1/2x + 2 + 2/2x - 1/2
Now, we can combine the terms.
(1/2x + 2/2x) + (2 - 1/2) = (3/2x) + (3/2)
Therefore, the final answer in mixed number form is 3/2x + 3/2.
Add: 1/2(x+4)+1/4(4x−2)
. Answer should be in mixed number form.
3 answers
nope
Apologies for the mistake in the previous response. Let's solve it correctly.
To add the given expression:
1/2(x+4) + 1/4(4x-2)
Let's start by simplifying each term:
1/2(x+4) = 1/2 * x + 1/2 * 4 = 1/2x + 2
1/4(4x-2) = 1/4 * 4x - 1/4 * 2 = x - 1/2
Now we can combine the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = (3/2x) + (3/2)
Since the coefficients of the variable (x) are the same in both terms, we can combine them:
3/2x + 3/2
To express the answer in mixed number form, divide the coefficients:
3 ÷ 2 = 1 remainder 1
Therefore, the final answer in mixed number form is:
1 1/2x + 1 1/2
To add the given expression:
1/2(x+4) + 1/4(4x-2)
Let's start by simplifying each term:
1/2(x+4) = 1/2 * x + 1/2 * 4 = 1/2x + 2
1/4(4x-2) = 1/4 * 4x - 1/4 * 2 = x - 1/2
Now we can combine the simplified terms:
1/2x + 2 + x - 1/2
Combining like terms:
(1/2x + x) + (2 - 1/2) = (3/2x) + (3/2)
Since the coefficients of the variable (x) are the same in both terms, we can combine them:
3/2x + 3/2
To express the answer in mixed number form, divide the coefficients:
3 ÷ 2 = 1 remainder 1
Therefore, the final answer in mixed number form is:
1 1/2x + 1 1/2