# How do you combine #1/2+2/(x+2)#?

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To combine 1/2 + 2/(x+2), we need to find a common denominator. The common denominator in this case is 2(x+2).

To convert 1/2 to have the same denominator, we multiply the numerator and denominator by (x+2), resulting in (x+2)/(2(x+2)).

To convert 2/(x+2) to have the same denominator, we multiply the numerator and denominator by 2, resulting in 4/(2(x+2)).

Now that both fractions have the same denominator, we can combine them by adding their numerators: (x+2)/(2(x+2)) + 4/(2(x+2)).

Combining the numerators gives us (x+2+4)/(2(x+2)).

Simplifying the numerator gives us (x+6)/(2(x+2)).

Therefore, 1/2 + 2/(x+2) can be combined as (x+6)/(2(x+2)).

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