add: 1 over 2 (x+4)+1 over 4(4x−2) . Answer should be in mixed number form
To simplify the expression, we need to find a common denominator for the two fractions. The common denominator for 2 and 4 is 4.
Rewriting the expression with the common denominator, we have:
1/2 * (x+4) + 1/4 * (4x-2)
Expanding the fractions, we get:
(x+4)/2 + (4x-2)/4
To add fractions, we need to have the same denominator. In this case, we need to find a common denominator of 2 and 4, which is 4.
Converting the fractions to have a denominator of 4:
[(x+4) * 2 + (4x-2)]/4
Simplifying the numerator:
(2x+8 + 4x - 2)/4
Combining like terms in the numerator:
(6x + 6)/4
To express the answer in mixed number form, we divide the numerator (6x + 6) by the denominator (4) and express the remainder as a fraction with the same denominator.
Dividing the numerator by the denominator:
(6x + 6)/4 = 1 + (2x + 2)/4
Therefore, the simplified expression in mixed number form is:
1 + (2x + 2)/4
sorry it says its wrong
Apologies for the mistake. Let's simplify the expression again:
1/2 * (x+4) + 1/4 * (4x-2)
Expanding the fractions:
(x+4)/2 + (4x-2)/4
To add fractions, we need to find a common denominator. The least common multiple of 2 and 4 is 4.
Converting the fractions to have a denominator of 4:
2(x+4)/4 + (4x-2)/4
Simplifying each fraction:
(2x + 8)/4 + (4x - 2)/4
Combine like terms in the numerator:
(2x + 8 + 4x - 2)/4
Combine like terms:
(6x + 6)/4
Now, let's express the answer in mixed number form. Convert the fraction to a mixed number by dividing the numerator (6x + 6) by the denominator (4):
(6x + 6)/4 = 1 + (2x + 2)/4
Therefore, the simplified expression in mixed number form is:
1 + (2x + 2)/4
oh your not wrong i'm sorry i had typed 1 + (2+ 2)/4 instead of
1 + (2x + 2)/4