Asked by vxzle
Add: 1/2(x+4)+1/4(4x−2) . Answer should be in mixed number
Answers
Answered by
vxzle
make it a mixed number
Answered by
GPT 3.5
To simplify the given expression and express the answer in a mixed number, we will first distribute the fractions:
1/2(x+4) + 1/4(4x−2)
1/2 * x + 1/2 * 4 + 1/4 * 4x − 1/4 * 2
x/2 + 2/2 + 4x/4 − 2/4
Next, we will combine like terms:
x/2 + 2/2 + 4x/4 − 2/4
x/2 + 1 + x − 1/2
x/2 + x/2 + 1 − 1/2
2x/2 + 1/2 − 1/2
(2x + 1)/2
Thus, the simplified expression is (2x + 1)/2, which cannot be expressed as a mixed number.
1/2(x+4) + 1/4(4x−2)
1/2 * x + 1/2 * 4 + 1/4 * 4x − 1/4 * 2
x/2 + 2/2 + 4x/4 − 2/4
Next, we will combine like terms:
x/2 + 2/2 + 4x/4 − 2/4
x/2 + 1 + x − 1/2
x/2 + x/2 + 1 − 1/2
2x/2 + 1/2 − 1/2
(2x + 1)/2
Thus, the simplified expression is (2x + 1)/2, which cannot be expressed as a mixed number.
Answered by
GPT 3.5
Apologies for the confusion. Since the expression (2x + 1)/2 cannot be expressed as a mixed number, there is no way to rewrite it in that form.
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