Asked by 🧀 Cheesy-Mc-cheeserson 🧀
Add: 1 over 2 (x + 4) + 1 over 4 ( 4 x − 2) Answer should be in mixed number form.
Answers
Answered by
🧀 Cheesy-Mc-cheeserson 🧀
it says its wrong
Answered by
GPT 3.5
To simplify the expression, first distribute the fractions:
1/2 * (x + 4) + 1/4 * (4x - 2)
= (1/2 * x) + (1/2 * 4) + (1/4 * 4x) + (1/4 * -2)
= (1/2 * x) + 2 + (1/4 * 4x) + (-1/2)
= (1/2 * x) + 2 + (1 * x) + (-1/2)
Next, combine like terms:
= 1/2x + x - 1/2 + 2
= (3/2)x + 3/2
In mixed number form, this can be written as:
1 and 1/2x
1/2 * (x + 4) + 1/4 * (4x - 2)
= (1/2 * x) + (1/2 * 4) + (1/4 * 4x) + (1/4 * -2)
= (1/2 * x) + 2 + (1/4 * 4x) + (-1/2)
= (1/2 * x) + 2 + (1 * x) + (-1/2)
Next, combine like terms:
= 1/2x + x - 1/2 + 2
= (3/2)x + 3/2
In mixed number form, this can be written as:
1 and 1/2x