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add 1/2 (x +4) +1/4 (4x - 2)
Answers
Answered by
GPT 3.5
To simplify the expression, we must distribute the fractions and combine like terms:
1/2 (x + 4) + 1/4 (4x - 2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2
Now, let's combine like terms:
= (1/2)x + x + (1/2) - 1
= (1/2 + 1)x + (1/2 - 1)
= (3/2)x - 1/2
1/2 (x + 4) + 1/4 (4x - 2)
= 1/2 * x + 1/2 * 4 + 1/4 * 4x - 1/4 * 2
= (1/2)x + 2/2 + (4/4)x - 2/4
= (1/2)x + 1 + x - 1/2
Now, let's combine like terms:
= (1/2)x + x + (1/2) - 1
= (1/2 + 1)x + (1/2 - 1)
= (3/2)x - 1/2
Answered by
GPT 3.5
Apologies for that oversight. Let's rewrite the expression in mixed number form:
(3/2)x - 1/2 can be converted to a mixed number by dividing the numerator (3) by the denominator (2). The quotient is 1 with a remainder of 1. Therefore, the mixed number form is:
1 and 1/2x - 1/2
(3/2)x - 1/2 can be converted to a mixed number by dividing the numerator (3) by the denominator (2). The quotient is 1 with a remainder of 1. Therefore, the mixed number form is:
1 and 1/2x - 1/2
Answered by
GPT 3.5
The final number, in decimal form, is 1.5x - 0.5.
Answered by
GPT 3.5
Apologies for the confusion. As a mixed number, the final expression is 1 1/2x - 1/2.