add: 1/2 (x+4)+1/4(4x-2) answer should be in mixed number form
1/2 (x+4) + 1/4 (4x-2)
To simplify, let's first multiply each fraction by their respective denominators to eliminate the fractions:
(1/2) * 2 * (x+4) + (1/4) * 4 * (4x-2)
(x+4) + (1/4) * 4 * (4x-2)
Now let's simplify further:
x+4 + (1/4) * 4 * (4x-2)
x+4 + 1 * (4x-2)
x+4 + 4x-2
Combine like terms:
(1+4)x + (4-2)
5x + 2
So, the simplified expression is 5x + 2.
wrong
Apologies for the mistake. Let's correct it.
1/2 (x+4) + 1/4 (4x-2)
To add these fractions, we need to find a common denominator. In this case, the common denominator is 4.
Rewriting the fractions with the common denominator:
(2/4)(x+4) + (1/4)(4x-2)
Now, let's simplify further:
(2/4)(x+4) + (1/4)(4x-2)
(x/2 + 2) + (4x/4 - 1/2)
Now, let's combine like terms:
x/2 + 2 + x - 1/2
To add the mixed numbers, we need a common denominator. The common denominator for 2 and 4 is 4.
(2x/4) + 8/4 + 2x/2 - 1/2
Now, let's simplify further:
(2x + 8)/4 + 4x/4 - 2/4
Now, let's combine the numerators:
(2x + 8 + 4x - 2)/4
(6x + 6)/4
This can be simplified further as:
6(x + 1)/4
So, the answer in mixed number form is:
6(x + 1)/4