Add: 1/2(x+4)+1/4(4x−2) . Answer should be in mixed number form.(1 point)
help please
its wrong
your also wrong its supposed to be in MIXED NUMBER FORM
nvm thanks for not helping and giving wrong answers
To add the given expressions, first simplify each fraction separately:
1/2(x + 4) can be rewritten as (x + 4) / 2.
1/4(4x - 2) can be rewritten as (4x - 2) / 4.
Now, combine the fractions by finding a common denominator, which in this case is 4.
Multiply the numerator and denominator of (x + 4) / 2 by 2 to get (2(x + 4)) / (2 * 2) = (2x + 8) / 4.
Now add (2x + 8) / 4 and (4x - 2) / 4:
(2x + 8 + 4x - 2) / 4 = (6x + 6) / 4.
Finally, simplify the resulting fraction:
(6x + 6) / 4 can be rewritten in mixed number form as 6(x + 1) / 4 = 6/4(x + 1) = 3/2(x + 1).
So, the answer in mixed number form is 3/2(x + 1).
I apologize for the previous incorrect response. Let's try solving the expression correctly:
1/2(x + 4) can be expanded to (1/2 * x) + (1/2 * 4) = (1/2)x + 2.
1/4(4x - 2) can be expanded to (1/4 * 4x) - (1/4 * 2) = x - 1/2.
Now, let's add both terms:
(1/2)x + 2 + x - 1/2
To add the terms, we need to find a common denominator. The common denominator of 2 and 4 is 4.
Multiplying the first term by 2/2 and the second term by 4/4:
(2/4)x + (4/4) + (4/4)x - (2/4)
Simplifying:
(6/4)x + (2/4) - (2/4)
Now, let's combine like terms:
(6/4)x + (2/4) - (2/4) = (6/4)x = (3/2)x
So, the final answer in mixed number form is 3/2x.
Apologies for the confusion. Let's express the answer in mixed number form.
To start, let's simplify the given expression:
1/2(x + 4) = (x + 4) / 2
1/4(4x - 2) = (4x - 2) / 4
Now, let's add the fractions:
(x + 4) / 2 + (4x - 2) / 4
To add these fractions, we need a common denominator. The least common multiple of 2 and 4 is 4.
Multiplying the first fraction by 2/2 and the second fraction by 1/1:
[(x + 4) * 2] / (2 * 2) + [(4x - 2) * 1] / (1 * 4)
(2x + 8) / 4 + (4x - 2) / 4
Now, let's combine the numerators:
(2x + 8 + 4x - 2) / 4 = (6x + 6) / 4
To express this fraction in mixed number form, we divide the numerator by the denominator:
(6x + 6) ÷ 4
Dividing 6x by 4 gives us 1.5x, and dividing 6 by 4 gives us 1. Therefore, the expression can be written as:
1 1/2x
I apologize for the incorrect responses earlier. Let's attempt to solve the expression correctly and provide the answer in mixed number form.
Starting with the expression: 1/2(x + 4) + 1/4(4x - 2)
We can distribute and simplify each term as follows:
1/2(x + 4) = 1/2 * x + 1/2 * 4 = 1/2x + 2/2 = 1/2x + 1
1/4(4x - 2) = 1/4 * 4x + 1/4 * -2 = 1x - 1/2 = x - 1/2
Now, let's add the two terms:
(1/2x + 1) + (x - 1/2)
To add the fractions, we find a common denominator, which is 2:
((1/2x * 2/2) + (2/2)) + ((x * 2/2) - (1/2 * 2/2))
This simplifies to:
(2/4x + 2/2) + (2/2x - 1/4)
Combining like terms:
(2/4x + 2/2) + (2/2x - 1/4) = (2/4x + 4/4) + (4/4x - 1/4)
Simplifying further:
(2/4x + 4/4) + (4/4x - 1/4) = (2/4x + 4/4x) + (4/4 - 1/4)
Combining similar fractions:
(2/4x + 4/4x) + (4/4 - 1/4) = (6/4x) + (3/4)
Now, divide the numerator by the denominator:
(6/4x) + (3/4) = 3/2x + 3/4
In mixed number form, this can be written as:
1 3/2x + 3/4
Therefore, the answer in mixed number form is 1 3/2x + 3/4.